Classical Groups Derangements And Primes
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Classical Groups Derangements And Primes
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Author : Timothy C. Burness
language : en
Publisher:
Release Date : 2015
Classical Groups Derangements And Primes written by Timothy C. Burness and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with Algebra categories.
Graduate-level introduction to finite classical groups featuring a comprehensive account of the conjugacy and geometry of elements of prime order.
Classical Groups Derangements And Primes
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Author : Timothy C. Burness
language : en
Publisher: Cambridge University Press
Release Date : 2016-01-15
Classical Groups Derangements And Primes written by Timothy C. Burness and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-01-15 with Mathematics categories.
A graduate-level introduction to finite classical groups featuring a comprehensive account of the conjugacy and geometry of elements of prime order.
Conjugacy In Finite Classical Groups
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Author : Giovanni De Franceschi
language : en
Publisher: Springer Nature
Release Date : 2025-05-05
Conjugacy In Finite Classical Groups written by Giovanni De Franceschi and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-05-05 with Mathematics categories.
This book provides a comprehensive coverage of the theory of conjugacy in finite classical groups. Given such a classical group G, the three fundamental problems considered are the following: to list a representative for each conjugacy class of G; to describe the centralizer of each representative, by giving its group structure and a generating set; and to solve the conjugacy problem in G—namely, given two elements of G, establish whether they are conjugate, and if so, find a conjugating element. The book presents comprehensive theoretical solutions to all three problems, and uses these solutions to formulate practical algorithms. In parallel to the theoretical work, implementations of these algorithms have been developed in Magma. These form a critical component of various general algorithms in computational group theory—for example, computing character tables and solving conjugacy problems in arbitrary finite groups.
The Spread Of Almost Simple Classical Groups
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Author : Scott Harper
language : en
Publisher: Springer Nature
Release Date : 2021-05-25
The Spread Of Almost Simple Classical Groups written by Scott Harper and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-05-25 with Mathematics categories.
This monograph studies generating sets of almost simple classical groups, by bounding the spread of these groups. Guralnick and Kantor resolved a 1962 question of Steinberg by proving that in a finite simple group, every nontrivial element belongs to a generating pair. Groups with this property are said to be 3/2-generated. Breuer, Guralnick and Kantor conjectured that a finite group is 3/2-generated if and only if every proper quotient is cyclic. We prove a strong version of this conjecture for almost simple classical groups, by bounding the spread of these groups. This involves analysing the automorphisms, fixed point ratios and subgroup structure of almost simple classical groups, so the first half of this monograph is dedicated to these general topics. In particular, we give a general exposition of Shintani descent. This monograph will interest researchers in group generation, but the opening chapters also serve as a general introduction to the almost simple classical groups.
Classical Groups Derangements And Primes
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Author : Timothy C. Burness
language : en
Publisher:
Release Date : 2020
Classical Groups Derangements And Primes written by Timothy C. Burness and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020 with Algebra categories.
Cherlin S Conjecture For Finite Primitive Binary Permutation Groups
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Author : Nick Gill
language : en
Publisher: Springer Nature
Release Date : 2022-06-17
Cherlin S Conjecture For Finite Primitive Binary Permutation Groups written by Nick Gill and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-06-17 with Mathematics categories.
This book gives a proof of Cherlin’s conjecture for finite binary primitive permutation groups. Motivated by the part of model theory concerned with Lachlan’s theory of finite homogeneous relational structures, this conjecture proposes a classification of those finite primitive permutation groups that have relational complexity equal to 2. The first part gives a full introduction to Cherlin’s conjecture, including all the key ideas that have been used in the literature to prove some of its special cases. The second part completes the proof by dealing with primitive permutation groups that are almost simple with socle a group of Lie type. A great deal of material concerning properties of primitive permutation groups and almost simple groups is included, and new ideas are introduced. Addressing a hot topic which cuts across the disciplines of group theory, model theory and logic, this book will be of interest to a wide range of readers. It will be particularly useful for graduate students and researchers who need to work with simple groups of Lie type.
Notes On Counting An Introduction To Enumerative Combinatorics
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Author : Peter J. Cameron
language : en
Publisher: Cambridge University Press
Release Date : 2017-06-29
Notes On Counting An Introduction To Enumerative Combinatorics written by Peter J. Cameron and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-06-29 with Mathematics categories.
An introduction to enumerative combinatorics, vital to many areas of mathematics. It is suitable as a class text or for individual study.
Orthogonal Polynomials And Painlev Equations
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Author : Walter Van Assche
language : en
Publisher: Cambridge University Press
Release Date : 2018
Orthogonal Polynomials And Painlev Equations written by Walter Van Assche and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with Mathematics categories.
There are a number of intriguing connections between Painlev equations and orthogonal polynomials, and this book is one of the first to provide an introduction to these. Researchers in integrable systems and non-linear equations will find the many explicit examples where Painlev equations appear in mathematical analysis very useful. Those interested in the asymptotic behavior of orthogonal polynomials will also find the description of Painlev transcendants and their use for local analysis near certain critical points helpful to their work. Rational solutions and special function solutions of Painlev equations are worked out in detail, with a survey of recent results and an outline of their close relationship with orthogonal polynomials. Exercises throughout the book help the reader to get to grips with the material. The author is a leading authority on orthogonal polynomials, giving this work a unique perspective on Painlev equations.
Amitsur Centennial Symposium
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Author : Avinoam Mann
language : en
Publisher: American Mathematical Society, Bar-Ilan University
Release Date : 2024-05-14
Amitsur Centennial Symposium written by Avinoam Mann and has been published by American Mathematical Society, Bar-Ilan University this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-05-14 with Mathematics categories.
This volume contains the proceedings of the Amitsur Centennial Symposium, held from November 1–4, 2021, virtually and at the Israel Institute for Advanced Studies (IIAS), The Hebrew University of Jerusalem, Jerusalem, Israel. Shimshon Amitsur was a pioneer in several branches of algebra, the leading algebraist in Israel for several decades who contributed major theorems, inspiring results, useful observations, and enlightening tricks to many areas of the field. The fifteen papers included in the volume represent the broad impact of Amitsur's work on such areas as the theory of finite simple groups, algebraic groups, PI-algebras and growth of rings, quadratic forms and division algebras, torsors and Severi-Brauer surfaces, Hopf algebras and braces, invariants, automorphisms and derivations.
Topics In Graph Automorphisms And Reconstruction
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Author : Josef Lauri
language : en
Publisher: Cambridge University Press
Release Date : 2003-03-17
Topics In Graph Automorphisms And Reconstruction written by Josef Lauri and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-03-17 with Mathematics categories.
The aim of this book is to provide in depth coverage of selected areas of graph theory, and throughout the focus is mainly on symmetry properties of graphs. Standard topics on graph automorphisms are presented early on, while in later chapters, more specialised topics are tackled, such as graphical regular representations and pseudosimilarity. The four final chapters are devoted to the reconstruction problem, and here greater emphasis is given to those results that involve the symmetry of graphs. As much as possible, the authors have tried to present results and proofs which are not often to be found in textbooks. Any student who has mastered the contents of this book will be well prepared for current research in many aspects of the theory of graph automorphisms and the reconstruction problem.