An Introduction to Groups: A Computer Illustrated Text, 1st Edition (Paperback) book cover

An Introduction to Groups

A Computer Illustrated Text, 1st Edition

By D Asche

CRC Press

89 pages

Purchasing Options:$ = USD
Paperback: 9780852743775
pub: 1989-01-01
SAVE ~$11.24
Currently out of stock
$74.95
$63.71
x

FREE Standard Shipping!

Description

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.

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

Subject Categories

BISAC Subject Codes/Headings:
MAT002000
MATHEMATICS / Algebra / General
SCI040000
SCIENCE / Mathematical Physics