title: A First Course in Abstract Algebra (6th Edition)
author:  John B. Fraleigh 
description: Considered a classic by many, A First Course in Abstract Algebra is an in-depth, introduction to abstract algebra. Focused on groups, rings and fields, this text gives students a firm foundation for more specialized work by emphasizing an understanding of the nature of algebraic structures. The sixth edition of this text continues the tradition of teaching in a classical manner while integrating field theory and a revised Chapter Zero. New exercises were written, and previous exercises were revised and modified.
zlib_text: Instructor’s
  
  Solutions Manual
  
  to accompany
  
  A First Course in
  
  Abstract Algebra
  
  Seventh Edition
  
  John B. Fraleigh
  
  University of Rhode Island
  
  Preface
  
  This manual contains solutions to all exercises in the text, except those odd-
  numbered exercises for which fairly lengthy complete solutions are given in
  the answers at the back of the text. Then reference is simply given to the
  text answers to save typing.
  
  I prepared these solutions myself. While I tried to be accurate, there are
  sure to be the inevitable mistakes and typos. An author reading proof rends to
  see what he or she wants to see. However, the instructor should find this
  manual adequate for the purpose for which it is intended.
  
  Morgan, Vermont
  
  J.B.F
  
  July, 2002
  
  i
  
  ii
  
  CONTENTS
  
  0\. Sets and Relations
  
  1
  
  I. Groups and Subgroups
  
  1\. Introduction and Examples
  
  4
  
  2\. Binary Operations
  
  7
  
  3\. Isomorphic Binary Structures
  
  9
  
  4\. Groups
  
  13
  
  5\. Subgroups
  
  17
  
  6\. Cyclic Groups
  
  21
  
  7\. Generators and Cayley Digraphs
  
  24