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math.GR2014
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…
math.GR2014
Truncated Quillen coplexes of p-groups
Francesco Fumagalli, John Shareshian
Let p be an odd prime and let P be a p-group. We examine the order complex of the poset of elementary abelian subgroups of P having order at least p^2. S. Bouc and J. Thévenaz show…