Marc Keilberg

activity

20102019

most citedOn tensor factorizations of Hopf algebras

4 citations · 7 across the 6 of their papers we have counts for

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4 papers · 1 filter

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.GR2017★ 2 cited

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 $p^{p + 1}$ …