Misunderstanding of Sylow theory Announcing the arrival of Valued Associate #679: Cesar Manara Planned maintenance scheduled April 23, 2019 at 00:00UTC (8:00pm US/Eastern)Elementary Group Theory, Sylow TheoremsSylow theorems and normalizerNumber of sylow subgroups of $A_5$ and $S_5$ - Dummit foote $4.5.31$A Group Having a Cyclic Sylow 2-Subgroup Has a Normal Subgroup.Proving that a subgroup $|H|=p^k$ is a Sylow subgroup of $|G|=p^km$, $mnmid p$Sylow Theorems to find all groups with order less than or equal to 10Finding and classifying all groups of order 12Question from Herstein's Topics in Algebra on Sylow subgroupsProof verification - the only group of order 24 without normal sylow subgroup is $S_4$.Is this proof on the Sylow 5-subgroups of G 100% correct?
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