200a-f11-hw4 - 5.4 so there is only one exercise assigned...

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Math 200a Fall 2011 Homework 4 Reading assignment: Sections 5.1-5.5, 6.1 All exercise numbers refer to Dummit and Foote, 3rd edition. Starting with this home- work set, I am abandoning ”optional” problems for the time being, and all of the listed problems are to be handed in (they won’t be starred anymore). If you need extra practice cementing some of the basic concepts, working through any of the lower numbered exercises in the text may be helpful. There aren’t a lot of interesting exercises about sections 5.1, 5.2,
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Unformatted text preview: 5.4, so there is only one exercise assigned related to those sections. But make sure you still read those sections and the notes from class about these topics. Exercises to be handed in: Section 4.5: 13 , 16 , 17 (hint: Look at the method used in the example of groups of order 30 in the text of this section), 32 (use the result of Exercise 4.4 #8(a), which was also part of additional exercise #1 on HW #2), 33 , 34 , 51 (hint: consider Sylow p-subgroups of M ). Section 5.1: 18 1...
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