An Introduction to Groups: A Computer Illustrated Text

by D Asche

Overview

An Introduction to Groups: A Computer Illustrated Text discusses all the concepts necessary for a thorough understanding of group theory. The book covers various theorems, including Lagrange and Sylow. It also details Cayley tables, Burnside's lemma, homomorphisms, and dicyclic groups. The book is ideal for advanced mathematics students and beginning undergraduates.

Product Details

ISBN-13:	9781000673098
Publisher:	CRC Press
Publication date:	02/27/2021
Sold by:	Barnes & Noble
Format:	eBook
Pages:	90
File size:	3 MB

About the Author

D Asche (Author)

Table of Contents

PERMUTATIONS, Notation, Products, Identity and Inverses, Order and Cycle Structure, Even and Odd Permutations, GROUPS, Basic Concepts and Notation, Subgroups and Cayley Tables, Cyclic Groups, Subgroups and Generators of Cyclic Groups, Cosets and Lagrange's Theorem, GROUP ACTIONS, Definition and Action Tables, Orbits and Stabilizers, Burnside's Lemma, Further Applications, CONJUGACY, Introduction, Conjugacy Classes, Normal Subgroups, The Sylow Theorems, HOMOMORPHISMS AND QUOTIENT GROUPS, Basic Concepts, Properties, The Kernel, Quotient Groups, An Isomorphism Theorem, CONSTRUCTING GROUPS, Direct Products, Dihedral Groups, Dicyclic Groups, More Constructions