determine the number of all the sylow subgroups of gl 4 2

Question: determine the number of all the Sylow subgroups of GL(4,2). (Or A8 because it’s the isomorphic group)

Requirements:

1. Full solution to the question, need t o find p-sylow, 2,3,5,7 sylow groups.

I’ve provided almost a full solution, and a paper that you can read (4 pages) to determine it.

 

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