Marc Keilberg

activity

20122019

collaborators

7 papers

math.GR2019

A family of non-FSZ finite symplectic groups

Marc Keilberg

Let $p$ be an odd prime with $p \equiv 1 mod 4$ . Then for any odd power $q$ of $p$ and a positive integer $j$ we show that the groups $Sp_{p^{j} + 1} (q), PSp_{p^{j} + 1} (q)$ , a…

math.QA2017

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…

math.GR2017

Some behaviors of FSZ groups under central products, central quotients, and regular wreath products

Marc Keilberg

We show that any group $G$ with a non- $F S Z_{m}$ quotient by a central cyclic subgroup also provides a non- $F S Z_{m}$ group of order $m ∣ G ∣$ obtained as a central product of $G$ with a cy…

math.GR2016

The FSZ properties of sporadic simple groups

Marc Keilberg

We investigate a possible connection between the $F S Z$ properties of a group and its Sylow subgroups. We show that the simple groups $G_{2} (5)$ and $S_{6} (5)$ , as well as all sporadic…

math.GR2016

Examples of non-FSZ p-groups for primes greater than three

Marc Keilberg

For any prime $p > 3$ and $j \in N$ we construct examples of non- $F S Z_{p^{j}}$ groups of order $p^{p^{j} + 2 j - 1}$ . In the special case of $j = 1$ this yields groups of order $p^{p + 1}$ …

math.QA2016

Homomorphisms and rigid isomorphisms of twisted group doubles

Marc Keilberg

We prove several results concerning quasi-bialgebra morphisms $D^{ω} (G) \to D^{η} (H)$ of twisted group doubles. We take a particular focus on the isomorphisms which a…