Geometry of Sporadic Groups: Volume 2, Representations and Amalgams

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Publisher : Cambridge University Press
ISBN 13 : 0521623499
Total Pages : 306 pages
Book Rating : 4.5/5 (216 download)

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Book Synopsis Geometry of Sporadic Groups: Volume 2, Representations and Amalgams by : Aleksandr Anatolievich Ivanov

Download or read book Geometry of Sporadic Groups: Volume 2, Representations and Amalgams written by Aleksandr Anatolievich Ivanov and published by Cambridge University Press. This book was released on 1999 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second in a two-volume set, for researchers into finite groups, geometry and algebraic combinatorics.

Geometry of Sporadic Groups: Volume 2, Representations and Amalgams

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Publisher : Cambridge University Press
ISBN 13 : 9780521623490
Total Pages : 0 pages
Book Rating : 4.6/5 (234 download)

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Book Synopsis Geometry of Sporadic Groups: Volume 2, Representations and Amalgams by : A. A. Ivanov

Download or read book Geometry of Sporadic Groups: Volume 2, Representations and Amalgams written by A. A. Ivanov and published by Cambridge University Press. This book was released on 2002-03-14 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second volume in a two-volume set provides a complete self-contained proof of the classification of geometries associated with sporadic simple groups: Petersen and tilde geometries. It contains a study of the representations of the geometries under consideration in GF(2)-vector spaces as well as in some non-Abelian groups. The central part is the classification of the amalgam of maximal parabolics, associated with a flag transitive action on a Petersen or tilde geometry. By way of their systematic treatment of group amalgams, the authors establish a deep and important mathematical result.

Geometry of Sporadic Groups II

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Publisher :
ISBN 13 : 9781107095304
Total Pages : 286 pages
Book Rating : 4.0/5 (953 download)

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Book Synopsis Geometry of Sporadic Groups II by : Aleksandr Anatolievich Ivanov

Download or read book Geometry of Sporadic Groups II written by Aleksandr Anatolievich Ivanov and published by . This book was released on 2002 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second in a two-volume set, for researchers into finite groups, geometry and algebraic combinatorics.

Geometry of Sporadic Groups: Volume 1, Petersen and Tilde Geometries

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Publisher : Cambridge University Press
ISBN 13 : 0521413621
Total Pages : 434 pages
Book Rating : 4.5/5 (214 download)

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Book Synopsis Geometry of Sporadic Groups: Volume 1, Petersen and Tilde Geometries by : A. A. Ivanov

Download or read book Geometry of Sporadic Groups: Volume 1, Petersen and Tilde Geometries written by A. A. Ivanov and published by Cambridge University Press. This book was released on 1999-06-17 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: Important monograph on finite group theory.

Diagram Geometry

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Publisher : Springer Science & Business Media
ISBN 13 : 3642344534
Total Pages : 597 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Diagram Geometry by : Francis Buekenhout

Download or read book Diagram Geometry written by Francis Buekenhout and published by Springer Science & Business Media. This book was released on 2013-01-26 with total page 597 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a self-contained introduction to diagram geometry. Tight connections with group theory are shown. It treats thin geometries (related to Coxeter groups) and thick buildings from a diagrammatic perspective. Projective and affine geometry are main examples. Polar geometry is motivated by polarities on diagram geometries and the complete classification of those polar geometries whose projective planes are Desarguesian is given. It differs from Tits' comprehensive treatment in that it uses Veldkamp's embeddings. The book intends to be a basic reference for those who study diagram geometry. Group theorists will find examples of the use of diagram geometry. Light on matroid theory is shed from the point of view of geometry with linear diagrams. Those interested in Coxeter groups and those interested in buildings will find brief but self-contained introductions into these topics from the diagrammatic perspective. Graph theorists will find many highly regular graphs. The text is written so graduate students will be able to follow the arguments without needing recourse to further literature. A strong point of the book is the density of examples.

Group Theory and Computation

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Publisher : Springer
ISBN 13 : 9811320470
Total Pages : 213 pages
Book Rating : 4.8/5 (113 download)

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Book Synopsis Group Theory and Computation by : N.S. Narasimha Sastry

Download or read book Group Theory and Computation written by N.S. Narasimha Sastry and published by Springer. This book was released on 2018-09-21 with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a blend of recent developments in theoretical and computational aspects of group theory. It presents the state-of-the-art research topics in different aspects of group theory, namely, character theory, representation theory, integral group rings, the Monster simple group, computational algorithms and methods on finite groups, finite loops, periodic groups, Camina groups and generalizations, automorphisms and non-abelian tensor product of groups. Presenting a collection of invited articles by some of the leading and highly active researchers in the theory of finite groups and their representations and the Monster group, with a focus on computational aspects, this book is of particular interest to researchers in the area of group theory and related fields of mathematics.

Buildings, Finite Geometries and Groups

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Publisher : Springer Science & Business Media
ISBN 13 : 1461407095
Total Pages : 348 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Buildings, Finite Geometries and Groups by : N.S. Narasimha Sastry

Download or read book Buildings, Finite Geometries and Groups written by N.S. Narasimha Sastry and published by Springer Science & Business Media. This book was released on 2011-11-13 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the Proceedings of the ICM 2010 Satellite Conference on “Buildings, Finite Geometries and Groups” organized at the Indian Statistical Institute, Bangalore, during August 29 – 31, 2010. This is a collection of articles by some of the currently very active research workers in several areas related to finite simple groups, Chevalley groups and their generalizations: theory of buildings, finite incidence geometries, modular representations, Lie theory, etc. These articles reflect the current major trends in research in the geometric and combinatorial aspects of the study of these groups. The unique perspective the authors bring in their articles on the current developments and the major problems in their area is expected to be very useful to research mathematicians, graduate students and potential new entrants to these areas.

Mathematical Reviews

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Publisher :
ISBN 13 :
Total Pages : 796 pages
Book Rating : 4.X/5 (6 download)

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Book Synopsis Mathematical Reviews by :

Download or read book Mathematical Reviews written by and published by . This book was released on 2003 with total page 796 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Topics in Diagram Geometry

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Publisher :
ISBN 13 :
Total Pages : 280 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Topics in Diagram Geometry by : Antonio Pasini

Download or read book Topics in Diagram Geometry written by Antonio Pasini and published by . This book was released on 2003 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Bulletin of the Belgian Mathematical Society, Simon Stevin

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Bulletin of the Belgian Mathematical Society, Simon Stevin by :

Download or read book Bulletin of the Belgian Mathematical Society, Simon Stevin written by and published by . This book was released on 2003 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Rank 2 Amalgams and Fusion Systems

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Publisher : Springer Nature
ISBN 13 : 3031544617
Total Pages : 210 pages
Book Rating : 4.0/5 (315 download)

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Book Synopsis Rank 2 Amalgams and Fusion Systems by : Martin van Beek

Download or read book Rank 2 Amalgams and Fusion Systems written by Martin van Beek and published by Springer Nature. This book was released on with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Groups, Combinatorics and Geometry

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Publisher : Cambridge University Press
ISBN 13 : 0521406854
Total Pages : 505 pages
Book Rating : 4.5/5 (214 download)

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Book Synopsis Groups, Combinatorics and Geometry by : Martin W. Liebeck

Download or read book Groups, Combinatorics and Geometry written by Martin W. Liebeck and published by Cambridge University Press. This book was released on 1992-09-10 with total page 505 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains a collection of papers on the subject of the classification of finite simple groups.

Problems on Mapping Class Groups and Related Topics

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Publisher : American Mathematical Soc.
ISBN 13 : 0821838385
Total Pages : 384 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Problems on Mapping Class Groups and Related Topics by : Benson Farb

Download or read book Problems on Mapping Class Groups and Related Topics written by Benson Farb and published by American Mathematical Soc.. This book was released on 2006-09-12 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: The appearance of mapping class groups in mathematics is ubiquitous. The book presents 23 papers containing problems about mapping class groups, the moduli space of Riemann surfaces, Teichmuller geometry, and related areas. Each paper focusses completely on open problems and directions. The problems range in scope from specific computations, to broad programs. The goal is to have a rich source of problems which have been formulated explicitly and accessibly. The book is divided into four parts. Part I contains problems on the combinatorial and (co)homological group-theoretic aspects of mapping class groups, and the way in which these relate to problems in geometry and topology. Part II concentrates on connections with classification problems in 3-manifold theory, the theory of symplectic 4-manifolds, and algebraic geometry. A wide variety of problems, from understanding billiard trajectories to the classification of Kleinian groups, can be reduced to differential and synthetic geometry problems about moduli space. Such problems and connections are discussed in Part III. Mapping class groups are related, both concretely and philosophically, to a number of other groups, such as braid groups, lattices in semisimple Lie groups, and automorphism groups of free groups. Part IV concentrates on problems surrounding these relationships. This book should be of interest to anyone studying geometry, topology, algebraic geometry or infinite groups. It is meant to provide inspiration for everyone from graduate students to senior researchers.

Investigations in Algebraic Theory of Combinatorial Objects

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Publisher : Springer Science & Business Media
ISBN 13 : 9780792319276
Total Pages : 534 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Investigations in Algebraic Theory of Combinatorial Objects by : I.A. Faradzev

Download or read book Investigations in Algebraic Theory of Combinatorial Objects written by I.A. Faradzev and published by Springer Science & Business Media. This book was released on 1993-11-30 with total page 534 pages. Available in PDF, EPUB and Kindle. Book excerpt: X Köchendorffer, L.A. Kalu:lnin and their students in the 50s and 60s. Nowadays the most deeply developed is the theory of binary invariant relations and their combinatorial approximations. These combinatorial approximations arose repeatedly during this century under various names (Hecke algebras, centralizer rings, association schemes, coherent configurations, cellular rings, etc.-see the first paper of the collection for details) andin various branches of mathematics, both pure and applied. One of these approximations, the theory of cellular rings (cellular algebras), was developed at the end of the 60s by B. Yu. Weisfeiler and A.A. Leman in the course of the first serious attempt to study the complexity of the graph isomorphism problem, one of the central problems in the modern theory of combinatorial algorithms. At roughly the same time G.M. Adelson-Velskir, V.L. Arlazarov, I.A. Faradtev and their colleagues had developed a rather efficient tool for the constructive enumeration of combinatorial objects based on the branch and bound method. By means of this tool a number of "sports-like" results were obtained. Some of these results are still unsurpassed.

New Technical Books

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Publisher :
ISBN 13 :
Total Pages : 342 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis New Technical Books by : New York Public Library

Download or read book New Technical Books written by New York Public Library and published by . This book was released on 1994 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The British National Bibliography

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Publisher :
ISBN 13 :
Total Pages : 1896 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis The British National Bibliography by : Arthur James Wells

Download or read book The British National Bibliography written by Arthur James Wells and published by . This book was released on 2002 with total page 1896 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Foliations and the Geometry of 3-Manifolds

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Publisher : Oxford University Press on Demand
ISBN 13 : 0198570082
Total Pages : 378 pages
Book Rating : 4.1/5 (985 download)

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Book Synopsis Foliations and the Geometry of 3-Manifolds by : Danny Calegari

Download or read book Foliations and the Geometry of 3-Manifolds written by Danny Calegari and published by Oxford University Press on Demand. This book was released on 2007-05-17 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique reference, aimed at research topologists, gives an exposition of the 'pseudo-Anosov' theory of foliations of 3-manifolds. This theory generalizes Thurston's theory of surface automorphisms and reveals an intimate connection between dynamics, geometry and topology in 3 dimensions. Significant themes returned to throughout the text include the importance of geometry, especially the hyperbolic geometry of surfaces, the importance of monotonicity, especially in1-dimensional and co-dimensional dynamics, and combinatorial approximation, using finite combinatorical objects such as train-tracks, branched surfaces and hierarchies to carry more complicated continuous objects.