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On some questions related to integrable groups
Russell Blyth, Francesco Fumagalli, Francesco Matucci
A group is integrable if it is isomorphic to the derived subgroup of a group ; that is, if , and in this case is an integral of . If is a subgroup of…
On the holomorph of finite semisimple groups
Russell Blyth, Francesco Fumagalli
Given a finite nonabelian semisimple group , we describe those groups that have the same holomorph as , that is, those regular subgroups of , the group of p…
The solvability of groups with nilpotent minimal coverings
Russell D. Blyth, Francesco Fumagalli, Marta Morigi
A covering of a group is a finite set of proper subgroups whose union is the whole group. A covering is minimal if there is no covering of smaller cardinality, and it is nilpotent…
Some structural results on the non-abelian tensor square of groups
Russell D. Blyth, Francesco Fumagalli, Marta Morigi
We study the non-abelian tensor square for the class of groups G that are finitely generated modulo their derived subgroup. In particular, we find conditions on G/G' s…