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.File in questo prodotto:
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