Finite core-pp-groups
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G. Cutolo; E.I. Khukhro; J.C. Lennox; J. Wiegold; S. Rinauro; H. Smith
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Article
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1997
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Elsevier Science
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English
β 210 KB
For n a positive integer, a group G is called core-n if HrH has order at most n G Ε½ for every subgroup H of G where H is the normal core of H, the largest normal G . subgroup of G contained in H . It is proved that a finite core-p p-group G has a normal abelian subgroup whose index in G is at most p