Advanced Engineering Mathematics, 2nd ed Solutions (M. Greenberg)
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 oddnumbered 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 ?nd this manual adequate for the purpose for which it is intende¡¦(»ý·«)
d. Morgan, Vermont July, 2002 J.B.F
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CONTENTS
0. Sets and Relations 1
I. Groups and Subgroups
1. 2. 3. 4. 5. 6. 7. Introduction and Examples 4 Binary Operations 7 Isomorphic Binary Structures 9 Groups 13 Subgroups 17 Cyclic Groups 21 Generators and Cayley Digraphs 24
II. Permuta
