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GT16. Cayley's Theorem

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Published on Jan 23, 2012

Abstract Algebra: We consider the left regular action of G on the set X = G. We prove Cayley's Theorem, that every group is isomorphic to a subgroup of a symmetric group, and note a variant when X=G/H. As an application, we show that every group of order p^2 with p prime is abelian.

U.Reddit course materials available at http://ureddit.com/class/23794/intro-... Master list at http://mathdoctorbob.org/UReddit.html

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