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Questions about the branch of algebra that deals with groups.

31 votes
9 answers
12k views

Applications for p-Sylow subgroups theorem

I have searched for such a question and didn't find it. I recently had a presentation in which I introduced $p$-Sylow subgroups and proved Sylow's theorems. I will have another one soon, concerning ap …
4 votes
1 answer
2k views

Haar measure of a subgroup

What is the connection between the normalized Haar measure of a compact group and the normalized Haar measure of one of its compact subgroups? I am trying to solve the following problem: Given $G$ …