Stuck on this question. Question 59l (last question of section 59)(adsbygoogle = window.adsbygoogle || []).push({});

p is a prime such that p^k divides the order of a group G. Prove that the number of subgroups of order p^k is congruent to 1 mod p. Clark warns that the solution is lengthy, and it is a theorem by Frobenius.

I'd appreciate any help or hints! Thanks.

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# Question from Allan Clark

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