My Account
Log in Registration
All
Cart
Highlights
Fiction Books
Non-Fiction Books
Children's Books
Rare Books
Music
DVD & Blu-Ray
Video Games
Category
Wishlists
Cart
All
Free Shipping in Australia
Trustpilot
Proud to be B-Corp

Finite Groups and Finite Geometries T. Tsuzuku

Finite Groups and Finite Geometries By T. Tsuzuku

Finite Groups and Finite Geometries by T. Tsuzuku

Reviews:
$108.89
Condition - New
Only 2 left
New

Summary

The purpose of this 1982 book is to present an introduction to developments which had taken place in finite group theory related to finite geometries. This book is practically self-contained and readers are assumed to have only an elementary knowledge of linear algebra.

Finite Groups and Finite Geometries Summary

Finite Groups and Finite Geometries by T. Tsuzuku

The purpose of this 1982 book is to present an introduction to developments which had taken place in finite group theory related to finite geometries. This book is practically self-contained and readers are assumed to have only an elementary knowledge of linear algebra. Among other things, complete descriptions of the following theorems are given in this book; the nilpotency of Frobneius kernels, Galois and Burnside theorems on permutation groups of prime degree, the Omstrom-Wagner theorem on projective planes, and the O'Nan and Ito theorems on characterizations of projective special linear groups. Graduate students and professionals in pure mathematics will continue to find this account of value.

Table of Contents

Part I. Introduction: 1. Notation and preliminaries; 2. Groups; 3. Algebraic structures; 4. Vector spaces; 5. Geometric structures; Part II. Fundamental Properties of Finite Groups: 1. The Sylow theorems; 2. Direct products and semi-direct products; 3. Normal series; 4. Finite Abelian groups; 5. p-groups; 6. Groups with operators; 7. Group extensions and the theorem of Schur-Zassenhaus; 8. Normal -complements; 9. Normal p-complements; 10. Representation of finite groups; 11. Frobenius groups; Part III. Fundamental Theory of Permutation Groups: 1. Permutations; 2. Transitivity and intransitivity; 3. Primitivity and imprimitivity; 4. Multiple transitivity; 5. Normal subgroups; 6. Permutation groups of prime degree; 7. Primitive permutation groups; Part IV. Examples - Symmetric Groups and General Linear Groups: 1. Conjugacy classes and composition series of the symmetric and alternating group; 2. Conditions for being a symmetric or alternating group; 3. Subgroups and automorphism groups of S and A ; 4. Generators and fundamental relations for Sn and An; 5. The structure of general semi-linear groups; 6. Properties of PSL(V) as a permutation group (dim V 3); 7. Symmetric groups and general linear groups of low order; Part V. Finite Projective Geometry: 1. Projective planes and affine planes; 2. Higher-dimensional; projective geometry; 3. Characterization of projective geometries; Part VI. Finite Groups and Finite Geometries: 1. Designs constructed from 2-transitive groups; 2. Characterization of projective transformation; Epilogue; Index.

Additional information

NLS9780521183789
9780521183789
0521183782
Finite Groups and Finite Geometries by T. Tsuzuku
T. Tsuzuku
Cambridge Tracts in Mathematics
New
Paperback
Cambridge University Press
2011-02-17
342
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
This is a new book - be the first to read this copy. With untouched pages and a perfect binding, your brand new copy is ready to be opened for the first time

Customer Reviews - Finite Groups and Finite Geometries