M. Kızmaz

activity

20182020

collaborators

4 papers

math.GR2020

On the influence of the fixed points of an automorphism to the structure of a group

M. Yasir Kızmaz

Let $α$ be a coprime automorphism of a group $G$ of prime order and let $P$ be an $α$ -invariant Sylow $p$ -subgroup of $G$ . Assume that $p \in / π (C_{G} (α))$ . Firstly, we prove that $…

math.GR2019

A Generalization of Hall-Wielandt Theorem

M. Yasir Kızmaz

Let $G$ be a finite group and $P \in S y l_{p} (G)$ . We denote the $k$ 'th term of the upper central series of $G$ by $Z_{k} (G)$ and the norm of $G$ by $Z^{*} (G)$ . In this article, we prove t…

math.GR2019

An extension of the Glauberman ZJ-Theorem

Muhammet Yasir Kızmaz

Let $p$ be an odd prime and let $J_{o} (X)$ , $J_{r} (X)$ and $J_{e} (X)$ denote the three different versions of Thompson subgroups for a $p$ -group $X$ . In this article, we first prove an ex…

math.GR2018

Finite groups of rank two which do not involve $Q d (p)$

Muhammet Yasir Kızmaz, Ergun Yalcin

Let $p > 3$ be a prime. We show that if $G$ is a finite group with $p$ -rank equal to 2, then $G$ involves $Q d (p)$ if and only if $G$ $p^{'}$ -involves $Q d (p)$ . This allows us to use a ve…

On the influence of the fixed points of an automorphism to the structure of a group

A Generalization of Hall-Wielandt Theorem

An extension of the Glauberman ZJ-Theorem

Finite groups of rank two which do not involve Qd(p)

Finite groups of rank two which do not involve $Q d (p)$