4 citations · 7 across the 6 of their papers we have counts for
11 papers
A family of non-FSZ finite symplectic groups
Marc Keilberg
Let be an odd prime with . Then for any odd power of and a positive integer we show that the groups , a…
Braid gaugings and categorical invariants
Marc Keilberg
We study the categorical notion of braid gauging and obtain its classical Hopf algebraic description. We demonstrate how braid gauging can provide new insights on certain categoric…
Some behaviors of FSZ groups under central products, central quotients, and regular wreath products
Marc Keilberg
We show that any group with a non- quotient by a central cyclic subgroup also provides a non- group of order obtained as a central product of with a cy…
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…
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 …
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…
Quasitriangular structures of the double of a finite group
Marc Keilberg
We give a classification of all quasitriangular structures and ribbon elements of explicitly in terms of group homomorphisms and central subgroups. This can equiva…
On tensor factorizations of Hopf algebras
Marc Keilberg, Peter Schauenburg
We prove a variety results on tensor product factorizations of finite dimensional Hopf algebras (more generally Hopf algebras satisfying chain conditions in suitable braided catego…
Automorphisms of the doubles of purely non-abelian finite groups
Marc Keilberg
Using a recent classification of , we determine a number of properties for , where is the D…
Higher Indicators for the Doubles of some Totally Orthogonal Groups
Marc Keilberg
We investigate the indicators for certain groups of the form $\BZ_k\rtimes D_l$ and their doubles, where is the dihedral group of order . We subsequently obtain an infini…
Higher indicators for some groups and their doubles
Marc Keilberg
In this paper we explicitly determine all indicators for groups isomorphic to the semidirect product of two cyclic groups by an automorphism of prime order, as well as the generali…