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math.GR2016
The FSZ properties of sporadic simple groups
Marc Keilberg
We investigate a possible connection between the properties of a group and its Sylow subgroups. We show that the simple groups and , as well as all sporadic…
math.GR2016
Examples of non-FSZ p-groups for primes greater than three
Marc Keilberg
For any prime and we construct examples of non- groups of order . In the special case of this yields groups of order …
math.QA2016
Homomorphisms and rigid isomorphisms of twisted group doubles
Marc Keilberg
We prove several results concerning quasi-bialgebra morphisms of twisted group doubles. We take a particular focus on the isomorphisms which a…