I have an example of 2sylow subgroup of S6.

I want to prove that this subgroup isomorphous to Z2XD4

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- Jul 27th 2010, 05:36 AM #1

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- Jul 27th 2010, 05:57 AM #2

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The Sylow 2-sbgps. of $\displaystyle S_4$ are easily seen to be isomorphic with $\displaystyle D_4$ ; if now you observe that in $\displaystyle S_6$ you have two numbers more as part of the permutations that don't appear in $\displaystyle S_4$ then you're easily done.

Tonio