Displaying similar documents to “Automorphisms of regular wreath product p -groups.”

On weakly s -permutably embedded subgroups

Changwen Li (2011)

Commentationes Mathematicae Universitatis Carolinae

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Suppose G is a finite group and H is a subgroup of G . H is said to be s -permutably embedded in G if for each prime p dividing | H | , a Sylow p -subgroup of H is also a Sylow p -subgroup of some s -permutable subgroup of G ; H is called weakly s -permutably embedded in G if there are a subnormal subgroup T of G and an s -permutably embedded subgroup H s e of G contained in H such that G = H T and H T H s e . We investigate the influence of weakly s -permutably embedded subgroups on the p -nilpotency and p -supersolvability...