Question: For a simple group with order 168, how many elements of order 7 exist in this group. Requirements:
I need a rigorous proof written out, with theorems utilized being
cited, so that I can understand the question thoroughly.Sidenote: I get that we can use sylow’s theorem to deduce that there will be 8 sylow 7 subgroups, but I don’t know of any method for determining the orders of the elements within a sylow subgroup.
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