Talk:11-1100/Homework Assignment 1 - Revision history

Drorbn at 13:34, 2 October 2011

2011-10-02T13:34:34Z

← Older revision		Revision as of 09:34, 2 October 2011
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			=== On II-3 ===
	"...that any morphism from G into an Abelian group factors through G / G' "		"...that any morphism from G into an Abelian group factors through G / G' "

	Is this just another way of asking to show that [; \frac{G}{\ker \phi} ;] is normal in [; \frac{G}{G'} ;]? The wording of this question is a little unclear to me.		Is this just another way of asking to show that <math>\frac{G}{\ker \phi}</math> is normal in <math>\frac{G}{G'}</math>? The wording of this question is a little unclear to me.

	-James		-James

			'''Answer.''' More fully, you have to show that given any group homomorphism <math>\phi:G\to A</math>, where <math>A</math> is an Abelian group, there exists a group homomorphism <math>\bar\phi:G/G'\to A</math> such that <math>\phi=\bar\phi\circ\pi</math>, where <math>\pi</math> is the projection <math>\pi:G\to G/G'</math>. (Sorry it took me long to respond, I was out of commission for much of last week and I'm only now getting better). [[User:Drorbn\|Drorbn]] 09:34, 2 October 2011 (EDT)

Jmracek at 20:53, 30 September 2011

2011-09-30T20:53:24Z

← Older revision		Revision as of 16:53, 30 September 2011
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	"...that any morphism from G into an Abelian group factors through G / G' "		"...that any morphism from G into an Abelian group factors through G / G' "

	Is this just another way of asking to show that $\frac{G}{\ker \phi}$ is normal in $\frac{G}{G'}$? The wording of this question is a little unclear to me.		Is this just another way of asking to show that [; \frac{G}{\ker \phi} ;] is normal in [; \frac{G}{G'} ;]? The wording of this question is a little unclear to me.

	-James		-James

Jmracek at 20:49, 30 September 2011

2011-09-30T20:49:29Z

New page

"...that any morphism from G into an Abelian group factors through G / G' "

Is this just another way of asking to show that $\frac{G}{\ker \phi}$ is normal in $\frac{G}{G'}$? The wording of this question is a little unclear to me.

-James