J. Kaspczyk

activity

20222024

most citedA result on s-semipermutable subgroups of finite groups and some applications

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

collaborators

6 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.GR2023

Criteria for supersolvability of saturated fusion systems

Fawaz Aseeri, Julian Kaspczyk

Let $p$ be a prime number. A saturated fusion system $F$ on a finite $p$ -group $S$ is said to be supersolvable if there is a series $1 = S_0 \le S_1 \le \dots \le S_m = S…

math.GR2022★ 4 cited

A result on s-semipermutable subgroups of finite groups and some applications

Fawaz Aseeri, Julian Kaspczyk

Let $p$ be a prime number, $G$ be a $p$ -solvable finite group and $P$ be a Sylow $p$ -subgroup of $G$ . We prove that $G$ is $p$ -supersolvable if $N_{G} (P)$ is $p$ -supersolvable and if…

math.GR2022

On $c$ -embedded subgroups of finite groups

Julian Kaspczyk

Let $G$ be a group and $H \leq K \leq G$ . We say that $H$ is $c$ -embedded in $G$ with respect to $K$ if there is a subgroup $B$ of $G$ such that $G = H B$ and $H \cap B \leq Z (K)$ . Giv…

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

Criteria for supersolvability of saturated fusion systems

A result on s-semipermutable subgroups of finite groups and some applications

On c-embedded subgroups of finite groups

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 $c$ -embedded subgroups of finite groups

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