In this paper we study the class of p-groups in which every maximal cyclic subgroup of order larger than p is self centralized as well as the class of p-groups in which the elements of order p^2 generate an extraspecial proper subgroup. In both cases the Hughes subgbroup plays a crucial role.

Two Applications of the Hughes Subgroup of Finite p-groups

GAVIOLI, NORBERTO;SCOPPOLA, CARLO MARIA
2007-01-01

Abstract

In this paper we study the class of p-groups in which every maximal cyclic subgroup of order larger than p is self centralized as well as the class of p-groups in which the elements of order p^2 generate an extraspecial proper subgroup. In both cases the Hughes subgbroup plays a crucial role.
978-981-270-735-2
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11697/38118
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