Math 361, Spring 2014, Assignment 10

Carefully define the following terms, then give one example and one non-example of each:

1. Conjugate subgroups.
2. Sylow $p$-subgroup.

Carefully state the following theorems (you need not prove them):

1. Sylow's Second Theorem.
2. Sylow's Third Theorem.

Solve the following problems:

1. Section 36, problems 1, 3, 13, and 17.

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Questions:

Given that there is an exam for this week, will there be a quiz for this homework as well? --Robert.Moray (talk) 21:00, 10 April 2014 (EDT)

No. This one exists only to help prepare for the final. --Steven.Jackson (talk) 08:43, 11 April 2014 (EDT)