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 Post subject: Group TheoryPosted: Fri, 22 Oct 2010 00:35:42 UTC
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Show that there is a transitive action of on a set with six elements.

Hint:
Spoiler:
Sylow's Theorem

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 Post subject: Re: Group TheoryPosted: Fri, 22 Oct 2010 09:32:58 UTC
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Joined: Mon, 29 Dec 2008 17:49:32 UTC
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Location: On this day Taiwan becomes another Tiananmen under Dictator Ma.
Show that there is a transitive action of on a set with six elements.

Hint:
Spoiler:
Sylow's Theorem

Alternative hint:
Spoiler:
Character table of

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 Post subject: Re: Group TheoryPosted: Tue, 19 Jul 2011 19:00:47 UTC
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Joined: Tue, 19 Jul 2011 17:58:35 UTC
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Show that there is a transitive action of on a set with six elements.

By you refer to the Symmetric Group, that is, all bijections operating on 5 symbols? If so, how is supposed to act on a set of 6? (Please forgive my ignorance -- I am a beginner in group theory)

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 Post subject: Re: Group TheoryPosted: Tue, 19 Jul 2011 21:40:27 UTC
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Joined: Wed, 30 Mar 2005 04:25:14 UTC
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Location: Austin, TX
Ralph Dratman wrote:
Show that there is a transitive action of on a set with six elements.

By you refer to the Symmetric Group, that is, all bijections operating on 5 symbols? If so, how is supposed to act on a set of 6? (Please forgive my ignorance -- I am a beginner in group theory)

Yes, that is exactly what I mean.

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