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Author : Maris A. Ozols
Publisher :
ISBN 13 :
Total Pages : 360 pages
Book Rating : 4.:/5 (225 download)
Download or read book The Enumeration of Polynomial Functions Over Finite Groups written by Maris A. Ozols and published by . This book was released on 1992 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jason Fulman
Publisher : American Mathematical Soc.
ISBN 13 : 0821837060
Total Pages : 104 pages
Book Rating : 4.8/5 (218 download)
Download or read book A Generating Function Approach to the Enumeration of Matrices in Classical Groups over Finite Fields written by Jason Fulman and published by American Mathematical Soc.. This book was released on 2005 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt: Generating function techniques are used to study the probability that an element of a classical group defined over a finite field is separable, cyclic, semisimple or regular. The limits of these probabilities as the dimension tends to infinity are calculated in all cases, and exponential convergence to the limit is proved. These results complement and extend earlier results of the authors, G. E. Wall, and Guralnick & Lubeck.
Author : Adalbert Kerber
Publisher : Springer Science & Business Media
ISBN 13 : 3662111675
Total Pages : 478 pages
Book Rating : 4.6/5 (621 download)
Download or read book Applied Finite Group Actions written by Adalbert Kerber and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 478 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by one of the top experts in the fields of combinatorics and representation theory, this book distinguishes itself from the existing literature by its applications-oriented point of view. The second edition is extended, placing more emphasis on applications to the constructive theory of finite structures. Recent progress in this field, in particular in design and coding theory, is described.
Author : Günther Eigenthaler
Publisher :
ISBN 13 :
Total Pages : 236 pages
Book Rating : 4.E/5 ( download)
Download or read book Proceedings of the 66th Workshop on General Algebra, "66. Arbeitstagung Allgemeine Algebra", University of Klagenfurt, June 19 - 22, 2003 written by Günther Eigenthaler and published by . This book was released on 2004 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Astrid Reifegerste
Publisher :
ISBN 13 :
Total Pages : 33 pages
Book Rating : 4.:/5 (759 download)
Download or read book Enumeration of Special Sets of Polynomials Over Finite Fields written by Astrid Reifegerste and published by . This book was released on 1997 with total page 33 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Gabor Horvath
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (14 download)
Download or read book Functions and polynomials over finite groups from the computational perspective written by Gabor Horvath and published by . This book was released on 2008 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Adalbert Kerber
Publisher :
ISBN 13 :
Total Pages : 448 pages
Book Rating : 4.3/5 (91 download)
Download or read book Algebraic Combinatorics Via Finite Group Actions written by Adalbert Kerber and published by . This book was released on 1991 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ian Grant Macdonald
Publisher : American Mathematical Soc.
ISBN 13 : 0821807706
Total Pages : 71 pages
Book Rating : 4.8/5 (218 download)
Download or read book Symmetric Functions and Orthogonal Polynomials written by Ian Grant Macdonald and published by American Mathematical Soc.. This book was released on 1998 with total page 71 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the most classical areas of algebra, the theory of symmetric functions and orthogonal polynomials, has long been known to be connected to combinatorics, representation theory and other branches of mathematics. Written by perhaps the most famous author on the topic, this volume explains some of the current developments regarding these connections. It is based on lectures presented by the author at Rutgers University. Specifically, he gives recent results on orthogonal polynomials associated with affine Hecke algebras, surveying the proofs of certain famous combinatorial conjectures.
Author : Knopfmacher
Publisher : Newnes
ISBN 13 : 0444107797
Total Pages : 333 pages
Book Rating : 4.4/5 (441 download)
Download or read book Abstract analytic number theory written by Knopfmacher and published by Newnes. This book was released on 2009-02-04 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: North-Holland Mathematical Library, Volume 12: Abstract Analytic Number Theory focuses on the approaches, methodologies, and principles of the abstract analytic number theory. The publication first deals with arithmetical semigroups, arithmetical functions, and enumeration problems. Discussions focus on special functions and additive arithmetical semigroups, enumeration and zeta functions in special cases, infinite sums and products, double series and products, integral domains and arithmetical semigroups, and categories satisfying theorems of the Krull-Schmidt type. The text then ponders on semigroups satisfying Axiom A, asymptotic enumeration and "statistical" properties of arithmetical functions, and abstract prime number theorem. Topics include asymptotic properties of prime-divisor functions, maximum and minimum orders of magnitude of certain functions, asymptotic enumeration in certain categories, distribution functions of prime-independent functions, and approximate average values of special arithmetical functions. The manuscript takes a look at arithmetical formations, additive arithmetical semigroups, and Fourier analysis of arithmetical functions, including Fourier theory of almost even functions, additive abstract prime number theorem, asymptotic average values and densities, and average values of arithmetical functions over a class. The book is a vital reference for researchers interested in the abstract analytic number theory.
Author : P. Feinsilver
Publisher : Springer
ISBN 13 : 0585280037
Total Pages : 151 pages
Book Rating : 4.5/5 (852 download)
Download or read book Algebraic Structures and Operator Calculus written by P. Feinsilver and published by Springer. This book was released on 2007-07-11 with total page 151 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this volume we will present some applications of special functions in computer science. This largely consists of adaptations of articles that have appeared in the literature . Here they are presented in a format made accessible for the non-expert by providing some context. The material on group representations and Young tableaux is introductory in nature. However, the algebraic approach of Chapter 2 is original to the authors and has not appeared previously . Similarly, the material and approach based on Appell states, so formulated, is presented here for the first time . As in all volumes of this series, this one is suitable for self-study by researchers . It is as well appropriate as a text for a course or advanced seminar . The solutions are tackled with the help of various analytical techniques, such as g- erating functions, and probabilistic methods/insights appear regularly . An interesting feature is that, as has been the case in classical applications to physics, special functions arise- here in complexity analysis. And, as in physics, their appearance indicates an underlying Lie structure. Our primary audience is applied mathematicians and theoretical computer scientists . We are quite sure that pure mathematicians will find this volume interesting and useful as well .
Author : Georg Polya
Publisher : Springer Science & Business Media
ISBN 13 : 1461246644
Total Pages : 155 pages
Book Rating : 4.4/5 (612 download)
Download or read book Combinatorial Enumeration of Groups, Graphs, and Chemical Compounds written by Georg Polya and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 155 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1937 there appeared a paper that was to have a profound influence on the progress of combinatorial enumeration, both in its theoretical and applied aspects. Entitled Kombinatorische Anzahlbest immungen jUr Gruppen, Graphen und chemische Verbindungen, it was published in Acta Mathematica, Vol. 68, pp. 145 to 254. Its author, George Polya, was already a mathematician of considerable stature, well-known for outstanding work in many branches of mathematics, particularly analysis. The paper in Question was unusual in that it depended almost entirely on a single theorem -- the "Hauptsatz" of Section 4 -- a theorem which gave a method for solving a general type of enumera tion problem. On the face of it, this is not something that one would expect to run to over 100 pages. Yet the range of the applica tions of the theorem and of its ramifications was enormous, as Polya clearly showed. In the various sections of his paper he explored many applications to the enumeration of graphs, principally trees, and of chemical isomers, using his theorem to present a comprehen sive and unified treatment of problems which had previously been solved, if at all, only by ad hoc methods. In the final section he investigated the asymptotic properties of these enumerational results, bringing to bear his formidable insight as an analyst
Author : Heng (Haggai) Liu
Publisher :
ISBN 13 :
Total Pages : 68 pages
Book Rating : 4.:/5 (126 download)
Download or read book On the Cogrowth Series of Free Products of Finite Groups written by Heng (Haggai) Liu and published by . This book was released on 2021 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt: Given a group G with a finite set of generators, S, it is natural to ask if the product of n generators from S evaluate to the identity. The enumerative version of this problem, known as the cogrowth problem, counts the number of such products and studies the associated counting sequence. Many cogrowth sequences are known. This thesis focuses on the free products of finite groups: Specifically, cyclic and dihedral groups. Such groups have the property that their cogrowth generating functions are algebraic functions, and thus, are solutions to implicit polynomial equations. Using algebraic elimination techniques and free probability theory, we establish upper bounds on the degrees of the polynomial equations that they satisfy. This has implications for asymptotic enumeration, and makes it theoretically possible to determine the functions explicitly.
Author : William M. Kantor
Publisher : Walter de Gruyter
ISBN 13 : 3110872749
Total Pages : 376 pages
Book Rating : 4.1/5 (18 download)
Download or read book Groups and Computation III written by William M. Kantor and published by Walter de Gruyter. This book was released on 2014-01-02 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains contributions by the participants of the conference "Groups and Computation", which took place at The Ohio State University in Columbus, Ohio, in June 1999. This conference was the successor of two workshops on "Groups and Computation" held at DIMACS in 1991 and 1995. There are papers on permutation group algorithms, finitely presented groups, polycyclic groups, and parallel computation, providing a representative sample of the breadth of Computational Group Theory. On the other hand, more than one third of the papers deal with computations in matrix groups, giving an in-depth treatment of the currently most active area of the field. The points of view of the papers range from explicit computations to group-theoretic algorithms to group-theoretic theorems needed for algorithm development.
Author : M. Hazewinkel
Publisher : Elsevier
ISBN 13 : 0080462499
Total Pages : 543 pages
Book Rating : 4.0/5 (84 download)
Download or read book Handbook of Algebra written by M. Hazewinkel and published by Elsevier. This book was released on 2006-05-30 with total page 543 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algebra, as we know it today, consists of many different ideas, concepts and results. A reasonable estimate of the number of these different items would be somewhere between 50,000 and 200,000. Many of these have been named and many more could (and perhaps should) have a name or a convenient designation. Even the nonspecialist is likely to encounter most of these, either somewhere in the literature, disguised as a definition or a theorem or to hear about them and feel the need for more information. If this happens, one should be able to find enough information in this Handbook to judge if it is worthwhile to pursue the quest. In addition to the primary information given in the Handbook, there are references to relevant articles, books or lecture notes to help the reader. An excellent index has been included which is extensive and not limited to definitions, theorems etc. The Handbook of Algebra will publish articles as they are received and thus the reader will find in this third volume articles from twelve different sections. The advantages of this scheme are two-fold: accepted articles will be published quickly and the outline of the Handbook can be allowed to evolve as the various volumes are published. A particularly important function of the Handbook is to provide professional mathematicians working in an area other than their own with sufficient information on the topic in question if and when it is needed. - Thorough and practical source for information - Provides in-depth coverage of new topics in algebra - Includes references to relevant articles, books and lecture notes
Author : William Fulton
Publisher : Cambridge University Press
ISBN 13 : 9780521567244
Total Pages : 276 pages
Book Rating : 4.5/5 (672 download)
Download or read book Young Tableaux written by William Fulton and published by Cambridge University Press. This book was released on 1997 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: Describes combinatorics involving Young tableaux and their uses in representation theory and algebraic geometry.
Author : Lance W. Small
Publisher :
ISBN 13 :
Total Pages : 712 pages
Book Rating : 4.:/5 (43 download)
Download or read book Reviews in Ring Theory, 1980-84 written by Lance W. Small and published by . This book was released on 1986 with total page 712 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Hélène Barcelo
Publisher : American Mathematical Soc.
ISBN 13 : 0821802941
Total Pages : 370 pages
Book Rating : 4.8/5 (218 download)
Download or read book Jerusalem Combinatorics '93 written by Hélène Barcelo and published by American Mathematical Soc.. This book was released on 1994 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains twenty-two papers presented at the International Conference in Combinatorics, held in Jerusalem in May 1993. The papers describe some of the latest developments in algebraic combinatorics, enumeration, graph and hypergraph theory, combinatorial geometry, and geometry of polytopes and arrangements. The papers are accessible to specialists as well as nonspecialists.
