Hi I'm struggling with part 3 of this question, so far I have narrowed the number of sylow 2-subgroups to be 1 or 3 through the theorem and its corollary. I am unsure about my reasoning, however I believe there is 3 from the explanation of:
'If there is only one sylow 2-subgroup, then there is only 1 non-trivial 2 element in S4, which isn't the case as we can easily find 2 permutations of cycle length 2.'
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Number of Sylow 2-Subgroups of S4 watch
- Thread Starter
- 13-05-2015 12:21