normalizer of Sylow psubgroup of simple groups A_nby rulin Tags: groups, normalizer, psubgroup, simple, sylow 

#1
Sep2008, 09:48 PM

P: 7

what is the order of normalizer of Sylow psubgroup of simple groups A_n?




#2
Sep2108, 02:16 AM

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HW Helper
P: 2,020

So you basically want to count the Sylow psubgroups of A_n. Isn't this a very hard problem?




#3
Sep2108, 05:11 AM

P: 7

the order of sylow psubgroup of A_n is not hard to compute, but the one of normalizer of sylow psubgroup, how to compute?




#4
Sep2108, 06:31 PM

Sci Advisor
HW Helper
P: 2,020

normalizer of Sylow psubgroup of simple groups A_n
But my point is if you compute the order of the normalizer of an arbitrary Sylow psubgroup, then you can count the number of Sylow psubgroups (because the number of Sylows is the index of the normalizer of any one of them in the group), which is (as far as I know) very difficult.



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