M. Kızmaz

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math.GR2026

Sylow theory and the nilpotency class of left nilpotent skew braces

Gülin Ercan, Şükran Gül, İsmail Ş. Güloğlu +1

Let $X$ be a finite left nilpotent skew brace and let $π$ be a set of primes. We show that every Hall $π$ -subgroup of the multiplicative group $(X, \cdot)$ is a Hall $π$ -subbrace of…

math.GR2026

The Baer Transform for Skew Braces

Gülin Ercan, Şükran Gül, İsmail Ş. Güloğlu +1

We introduce and study the Baer transform for finite skew braces whose additive group has odd order and nilpotency class at most $2$ . Starting from Baer's classical construction fo…

math.GR2021

Some special coprime actions and their consequence

Gülin Ercan, İsmail Ş. Güloğlu, M. Yasir Kızmaz +1

Let a group $A$ act on the group $G$ coprimely. Suppose that the order of the fixed point subgroup $C_{G} (A)$ is not divisible by an arbitrary but fixed prime $p$ . In the present pap…