08-401/Homework Assignment 9 - Revision history

Drorbn at 01:54, 27 March 2008

2008-03-27T01:54:18Z

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	===Reading===		===Reading===
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	===Doing===		===Doing===
			Solve and submit the following three problems.
	Solve problems ??? in chapter 32 of Gallian's book ('''6th edition'''), but submit only the solutions of the problems marked with the letter "S".

			'''Problem 1.''' Show that the dihedral groups <math>D_n</math> are solvable (<math>D_n</math> is the group of symmetries of a perfect <math>n</math>-gon, including rotations and reflections).

			'''Problem 2.''' The "<math>ax+b</math> group" is the group of all functions <math>f:{\mathbb R}\to{\mathbb R}</math> of the form <math>f(x)=ax+b</math>, with <math>a,b\in{\mathbb R}</math> and with <math>a\neq0</math>, under the operation of composition of functions. Show that the <math>ax+b</math> group is solvable.

			'''Problem 3.''' Show that any subgroup of a solvable group is solvable.

	===Due Date===		===Due Date===

Drorbn at 01:32, 27 March 2008

2008-03-27T01:32:41Z

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	===Reading===		===Reading===

Drorbn at 01:32, 27 March 2008

2008-03-27T01:32:28Z

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{{08-401/Navigation}}

===Reading===
Read, reread and rereread your notes to this point, and make sure that you really, really really, really really really understand everything in them. Do the same every week! You may also go over Chapter 32 of Gallian's book once again; we are not done with that chapter yet.

===Doing===
Solve problems ??? in chapter 32 of Gallian's book ('''6th edition'''), but submit only the solutions of the problems marked with the letter "S".

===Due Date===
This assignment is due in class on Wednesday April 2, 2008.