J. Kaspczyk

collaborators

3 papers

math.GR2024

The conjugacy diameters of non-abelian finite $p$ -groups with cyclic maximal subgroups

Fawaz Aseeri, Julian Kaspczyk

Let $G$ be a group. A subset $S$ of $G$ is said to normally generate $G$ if $G$ is the normal closure of $S$ in $G .$ In this case, any element of $G$ can be written as a product of…

math.GR2022

On finite groups with given $I C Φ$ -subgroups

Julian Kaspczyk

A subgroup $H$ of a group $G$ is said to be an $I C Φ$ -subgroup of $G$ if $H \cap [H, G] \leq Φ (H)$ . We analyze the structure of a finite group $G$ under the assumption that some given…

math.GR2022

A characterization of the groups $P S L_{n} (q)$ and $P S U_{n} (q)$ by their $2$ -fusion systems, $q$ odd

Julian Kaspczyk

Let $q$ be a nontrivial odd prime power, and let $n \geq 2$ be a natural number with $(n, q) \neq = (2, 3)$ . We characterize the groups $P S L_{n} (q)$ and $P S U_{n} (q)$ by their $2$ -fusion syst…

The conjugacy diameters of non-abelian finite p-groups with cyclic maximal subgroups

On finite groups with given ICΦ-subgroups

A characterization of the groups PSLn​(q) and PSUn​(q) by their 2-fusion systems, q odd

The conjugacy diameters of non-abelian finite $p$ -groups with cyclic maximal subgroups

On finite groups with given $I C Φ$ -subgroups

A characterization of the groups $P S L_{n} (q)$ and $P S U_{n} (q)$ by their $2$ -fusion systems, $q$ odd