Prove that if p is a prime and G is a finite group such that pk IIG I, then G has a
Chapter 58, Problem 58.15(choose chapter or problem)
Prove that if p is a prime and G is a finite group such that pk IIG I, then G has a subgroup oforder pk, [Suggestion: Follow the proof of Sylow's Theorem, but first prove the fOllowinggeneralization of Lemma 58.1: if p is a prime and l is the highest power of p dividing m,then pI is also the highest power of p dividing Image
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