Several structure theorems are proved for groups G having the following property. There is a prime p and a collection of subgroups of G such that the elements of G which lie in the complement of every subgroup of the collection all have order p.
A Hughes-like property for finite groups / R. A. Bryce; V. Fedri; L. Serena. - In: PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY. - ISSN 0013-0915. - STAMPA. - 38:(1995), pp. 533-541. [10.1017/S0013091500019325]
A Hughes-like property for finite groups
SERENA, LUIGI
1995
Abstract
Several structure theorems are proved for groups G having the following property. There is a prime p and a collection of subgroups of G such that the elements of G which lie in the complement of every subgroup of the collection all have order p.
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