Assignment 3

PMAT 315 - Abstract Algebra

February 6

Reading: Sections 1.4, 2.3, 2.4, begin 2.5.

Recommended Excercises

These problems are recommended to help you learn the basic concepts. In many of these problems, you need not do all of the parts in order to master the concept. Use your judgement. You do not need to turn in all of these problems (see below).

Section 1.3 p. 60 #34, 35 (re: Fermat's Theorem)
Section 1.4 p. 73 # 1, 3, 6, 8, 13, 15, 19, 21, 24, 29
Section 2.2 p. 97 # 8, 9, 17, 26
Section 2.3 p. 103 # 1, 3, 6, 7(a), 8, 9, 15, 19, 20
Section 2.4 p. 112 # 1, 4, 8, 9, 11, 13, 21, 36, 37

Written Excercises

The solutions to these problems are due in class on Wednesday, February 25.

Section 1.3 p. 60 #35(b)
Section 1.4 p. 73 # 21(c), 24, 29
Section 2.2 p. 97 # 26. Show that if G is a group, so is GxG.
Section 2.3 p. 103 # 3, 8, 9
Section 2.4 p. 112 # 11, 13, 36

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