7 citations · 23 across the 55 of their papers we have counts for
4 papers · 2 filters
On redundant Sylow subgroups
Benjamin Sambale
A Sylow p-subgroup P of a finite group G is called redundant if every p-element of G lies in a Sylow subgroup different from P. Generalizing a recent theorem of Maróti--Martínez--M…
Minimal cover groups
Peter J. Cameron, David Craven, Hamid Reza Dorbidi +2
Let be a set of finite groups. A finite group is called an \emph{-cover} if every group in is isomorphic to a subgroup of . An $\mat…
Common transversals and complements in abelian groups
Stefanos Aivazidis, Maria Loukaki, Benjamin Sambale
Given a finite abelian group and cyclic subgroups , , of of the same order, we find necessary and sufficient conditions for , , to admit a common transv…
On the converse of Gaschütz' complement theorem
Benjamin Sambale
Let N be a normal subgroup of a finite group G. Let N\le H\le G such that N has a complement in H and (|N|,|G:H|)=1. If N is abelian, a theorem of Gaschütz asserts that N has a com…