Oligomorphic Permutation Groups

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Oligomorphic Permutation Groups

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Author : Peter J. Cameron
Publisher : Cambridge University Press
ISBN 13 : 0521388368
Total Pages : 172 pages
Book Rating : 4.5/5 (213 download)

Book Synopsis Oligomorphic Permutation Groups by : Peter J. Cameron

Download or read book Oligomorphic Permutation Groups written by Peter J. Cameron and published by Cambridge University Press. This book was released on 1990-06-29 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of permutations groups has always been closely associated with that of highly symmetric structures. The objects considered here are countably infinite, but have only finitely many different substructures of any given finite size. This book discusses such structures, their substructures and their automorphism groups using a wide range of techniques.

Permutation Groups

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Author : Peter J. Cameron
Publisher : Cambridge University Press
ISBN 13 : 9780521653787
Total Pages : 236 pages
Book Rating : 4.6/5 (537 download)

Book Synopsis Permutation Groups by : Peter J. Cameron

Download or read book Permutation Groups written by Peter J. Cameron and published by Cambridge University Press. This book was released on 1999-02-04 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book summarizes recent developments in the study of permutation groups for beginning graduate students.

Permutation Groups

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Author : John D. Dixon
Publisher : Springer Science & Business Media
ISBN 13 : 1461207312
Total Pages : 360 pages
Book Rating : 4.4/5 (612 download)

Book Synopsis Permutation Groups by : John D. Dixon

Download or read book Permutation Groups written by John D. Dixon and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: Following the basic ideas, standard constructions and important examples in the theory of permutation groups, the book goes on to develop the combinatorial and group theoretic structure of primitive groups leading to the proof of the pivotal ONan-Scott Theorem which links finite primitive groups with finite simple groups. Special topics covered include the Mathieu groups, multiply transitive groups, and recent work on the subgroups of the infinite symmetric groups. With its many exercises and detailed references to the current literature, this text can serve as an introduction to permutation groups in a course at the graduate or advanced undergraduate level, as well as for self-study.

Ordered Groups and Infinite Permutation Groups

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Author : W.C. Holland
Publisher : Springer Science & Business Media
ISBN 13 : 1461334438
Total Pages : 252 pages
Book Rating : 4.4/5 (613 download)

Book Synopsis Ordered Groups and Infinite Permutation Groups by : W.C. Holland

Download or read book Ordered Groups and Infinite Permutation Groups written by W.C. Holland and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subjects of ordered groups and of infinite permutation groups have long en joyed a symbiotic relationship. Although the two subjects come from very different sources, they have in certain ways come together, and each has derived considerable benefit from the other. My own personal contact with this interaction began in 1961. I had done Ph. D. work on sequence convergence in totally ordered groups under the direction of Paul Conrad. In the process, I had encountered "pseudo-convergent" sequences in an ordered group G, which are like Cauchy sequences, except that the differences be tween terms of large index approach not 0 but a convex subgroup G of G. If G is normal, then such sequences are conveniently described as Cauchy sequences in the quotient ordered group GIG. If G is not normal, of course GIG has no group structure, though it is still a totally ordered set. The best that can be said is that the elements of G permute GIG in an order-preserving fashion. In independent investigations around that time, both P. Conrad and P. Cohn had showed that a group admits a total right ordering if and only if the group is a group of automor phisms of a totally ordered set. (In a right ordered group, the order is required to be preserved by all right translations, unlike a (two-sided) ordered group, where both right and left translations must preserve the order.

Notes on Infinite Permutation Groups

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Author : Meenaxi Bhattacharjee
Publisher : Springer
ISBN 13 : 3540498133
Total Pages : 206 pages
Book Rating : 4.5/5 (44 download)

Book Synopsis Notes on Infinite Permutation Groups by : Meenaxi Bhattacharjee

Download or read book Notes on Infinite Permutation Groups written by Meenaxi Bhattacharjee and published by Springer. This book was released on 2006-11-14 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book, based on a course of lectures by the authors at the Indian Institute of Technology, Guwahati, covers aspects of infinite permutation groups theory and some related model-theoretic constructions. There is basic background in both group theory and the necessary model theory, and the following topics are covered: transitivity and primitivity; symmetric groups and general linear groups; wreatch products; automorphism groups of various treelike objects; model-theoretic constructions for building structures with rich automorphism groups, the structure and classification of infinite primitive Jordan groups (surveyed); applications and open problems. With many examples and exercises, the book is intended primarily for a beginning graduate student in group theory.

Topics in Graph Automorphisms and Reconstruction

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Author : Josef Lauri
Publisher : Cambridge University Press
ISBN 13 : 1316610446
Total Pages : 207 pages
Book Rating : 4.3/5 (166 download)

Book Synopsis Topics in Graph Automorphisms and Reconstruction by : Josef Lauri

Download or read book Topics in Graph Automorphisms and Reconstruction written by Josef Lauri and published by Cambridge University Press. This book was released on 2016-06-02 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt: An in-depth coverage of selected areas of graph theory focusing on symmetry properties of graphs, ideal for beginners and specialists.

Complexity of Infinite-Domain Constraint Satisfaction

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Author : Manuel Bodirsky
Publisher : Cambridge University Press
ISBN 13 : 1107042844
Total Pages : 537 pages
Book Rating : 4.1/5 (7 download)

Book Synopsis Complexity of Infinite-Domain Constraint Satisfaction by : Manuel Bodirsky

Download or read book Complexity of Infinite-Domain Constraint Satisfaction written by Manuel Bodirsky and published by Cambridge University Press. This book was released on 2021-06-10 with total page 537 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduces the universal-algebraic approach to classifying the computational complexity of constraint satisfaction problems.

Graph Symmetry

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Author : Gena Hahn
Publisher : Springer Science & Business Media
ISBN 13 : 9401589372
Total Pages : 434 pages
Book Rating : 4.4/5 (15 download)

Book Synopsis Graph Symmetry by : Gena Hahn

Download or read book Graph Symmetry written by Gena Hahn and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: The last decade has seen two parallel developments, one in computer science, the other in mathematics, both dealing with the same kind of combinatorial structures: networks with strong symmetry properties or, in graph-theoretical language, vertex-transitive graphs, in particular their prototypical examples, Cayley graphs. In the design of large interconnection networks it was realised that many of the most fre quently used models for such networks are Cayley graphs of various well-known groups. This has spawned a considerable amount of activity in the study of the combinatorial properties of such graphs. A number of symposia and congresses (such as the bi-annual IWIN, starting in 1991) bear witness to the interest of the computer science community in this subject. On the mathematical side, and independently of any interest in applications, progress in group theory has made it possible to make a realistic attempt at a complete description of vertex-transitive graphs. The classification of the finite simple groups has played an important role in this respect.

Model Theory of Groups and Automorphism Groups

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Author : David M. Evans
Publisher : Cambridge University Press
ISBN 13 : 052158955X
Total Pages : 232 pages
Book Rating : 4.5/5 (215 download)

Book Synopsis Model Theory of Groups and Automorphism Groups by : David M. Evans

Download or read book Model Theory of Groups and Automorphism Groups written by David M. Evans and published by Cambridge University Press. This book was released on 1997-07-10 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: Surveys recent interactions between model theory and other branches of mathematics, notably group theory.

Groups St Andrews 2005: Volume 1

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Author : C. M. Campbell
Publisher : Cambridge University Press
ISBN 13 : 0521694698
Total Pages : 463 pages
Book Rating : 4.5/5 (216 download)

Book Synopsis Groups St Andrews 2005: Volume 1 by : C. M. Campbell

Download or read book Groups St Andrews 2005: Volume 1 written by C. M. Campbell and published by Cambridge University Press. This book was released on 2007-01-04 with total page 463 pages. Available in PDF, EPUB and Kindle. Book excerpt: Selected papers from 'Groups St Andrews 2005' cover a wide spectrum of modern group theory.

Perspectives In Mathematical Science Ii: Pure Mathematics

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Author : N S Narasimha Sastry
Publisher : World Scientific
ISBN 13 : 9814467855
Total Pages : 281 pages
Book Rating : 4.8/5 (144 download)

Book Synopsis Perspectives In Mathematical Science Ii: Pure Mathematics by : N S Narasimha Sastry

Download or read book Perspectives In Mathematical Science Ii: Pure Mathematics written by N S Narasimha Sastry and published by World Scientific. This book was released on 2009-07-01 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a collection of invited articles by distinguished Mathematicians on the occasion of the Platinum Jubilee Celebrations of the Indian Statistical Institute, during the year 2007. These articles provide a current perspective of different areas of research, emphasizing the major challenging issues. Given the very significant record of the Institute in research in the areas of Statistics, Probability and Mathematics, distinguished authors have very admirably responded to the invitation. Some of the articles are written keeping students and potential new entrants to an area of mathematics in mind. This volume is thus very unique and gives a perspective of several important aspects of mathematics.

Notes on Counting: An Introduction to Enumerative Combinatorics

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Author : Peter J. Cameron
Publisher : Cambridge University Press
ISBN 13 : 1108417361
Total Pages : 235 pages
Book Rating : 4.1/5 (84 download)

Book Synopsis Notes on Counting: An Introduction to Enumerative Combinatorics by : Peter J. Cameron

Download or read book Notes on Counting: An Introduction to Enumerative Combinatorics written by Peter J. Cameron and published by Cambridge University Press. This book was released on 2017-06-29 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to enumerative combinatorics, vital to many areas of mathematics. It is suitable as a class text or for individual study.

Handbook of Combinatorics

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Author : Ronald L. Graham
Publisher : MIT Press
ISBN 13 : 9780262571722
Total Pages : 1130 pages
Book Rating : 4.5/5 (717 download)

Book Synopsis Handbook of Combinatorics by : Ronald L. Graham

Download or read book Handbook of Combinatorics written by Ronald L. Graham and published by MIT Press. This book was released on 2003-03 with total page 1130 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covers combinatorics in graph theory, theoretical computer science, optimization, and convexity theory, plus applications in operations research, electrical engineering, statistical mechanics, chemistry, molecular biology, pure mathematics, and computer science.

Advances in Algebra and Model Theory

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Author : M Droste
Publisher : CRC Press
ISBN 13 : 1000725278
Total Pages : 516 pages
Book Rating : 4.0/5 (7 download)

Book Synopsis Advances in Algebra and Model Theory by : M Droste

Download or read book Advances in Algebra and Model Theory written by M Droste and published by CRC Press. This book was released on 2019-08-16 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains 25 surveys in algebra and model theory, all written by leading experts in the field. The surveys are based around talks given at conferences held in Essen, 1994, and Dresden, 1995. Each contribution is written in such a way as to highlight the ideas that were discussed at the conferences, and also to stimulate open research problems in a form accessible to the whole mathematical community. The topics include field and ring theory as well as groups, ordered algebraic structure and their relationship to model theory. Several papers deal with infinite permutation groups, abelian groups, modules and their relatives and representations. Model theoretic aspects include quantifier elimination in skew fields, Hilbert's 17th problem, (aleph-0)-categorical structures and Boolean algebras. Moreover symmetry questions and automorphism groups of orders are covered. This work contains 25 surveys in algebra and model theory, each is written in such a way as to highlight the ideas that were discussed at Conferences, and also to stimulate open research problems in a form accessible to the whole mathematical community.

Handbook of Combinatorics Volume 1

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Author : Bozzano G Luisa
Publisher : Elsevier
ISBN 13 : 0080933351
Total Pages : 1121 pages
Book Rating : 4.0/5 (89 download)

Book Synopsis Handbook of Combinatorics Volume 1 by : Bozzano G Luisa

Download or read book Handbook of Combinatorics Volume 1 written by Bozzano G Luisa and published by Elsevier. This book was released on 1995-12-11 with total page 1121 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook of Combinatorics, Volume 1 focuses on basic methods, paradigms, results, issues, and trends across the broad spectrum of combinatorics. The selection first elaborates on the basic graph theory, connectivity and network flows, and matchings and extensions. Discussions focus on stable sets and claw free graphs, nonbipartite matching, multicommodity flows and disjoint paths, minimum cost circulations and flows, special proof techniques for paths and circuits, and Hamilton paths and circuits in digraphs. The manuscript then examines coloring, stable sets, and perfect graphs and embeddings and minors. The book takes a look at random graphs, hypergraphs, partially ordered sets, and matroids. Topics include geometric lattices, structural properties, linear extensions and correlation, dimension and posets of bounded degree, hypergraphs and set systems, stability, transversals, and matchings, and phase transition. The manuscript also reviews the combinatorial number theory, point lattices, convex polytopes and related complexes, and extremal problems in combinatorial geometry. The selection is a valuable reference for researchers interested in combinatorics.

Handbook of Combinatorics Volume 1

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Author : Ronald L. Graham
Publisher : Elsevier
ISBN 13 : 9780444823465
Total Pages : 1124 pages
Book Rating : 4.8/5 (234 download)

Book Synopsis Handbook of Combinatorics Volume 1 by : Ronald L. Graham

Download or read book Handbook of Combinatorics Volume 1 written by Ronald L. Graham and published by Elsevier. This book was released on 1995-12-11 with total page 1124 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook of Combinatorics, Volume 1 focuses on basic methods, paradigms, results, issues, and trends across the broad spectrum of combinatorics. The selection first elaborates on the basic graph theory, connectivity and network flows, and matchings and extensions. Discussions focus on stable sets and claw free graphs, nonbipartite matching, multicommodity flows and disjoint paths, minimum cost circulations and flows, special proof techniques for paths and circuits, and Hamilton paths and circuits in digraphs. The manuscript then examines coloring, stable sets, and perfect graphs and embeddings and minors. The book takes a look at random graphs, hypergraphs, partially ordered sets, and matroids. Topics include geometric lattices, structural properties, linear extensions and correlation, dimension and posets of bounded degree, hypergraphs and set systems, stability, transversals, and matchings, and phase transition. The manuscript also reviews the combinatorial number theory, point lattices, convex polytopes and related complexes, and extremal problems in combinatorial geometry. The selection is a valuable reference for researchers interested in combinatorics.

Handbook of Combinatorics

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Author : R.L. Graham
Publisher : Elsevier
ISBN 13 : 008093384X
Total Pages : 2404 pages
Book Rating : 4.0/5 (89 download)

Book Synopsis Handbook of Combinatorics by : R.L. Graham

Download or read book Handbook of Combinatorics written by R.L. Graham and published by Elsevier. This book was released on 1995-12-11 with total page 2404 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook of Combinatorics