.Ismail cS. Gulouglu

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math.GR2026

The Baer Transform for Skew Braces

GÃ¼lin Ercan, ÅÃ¼kran GÃ¼l, Ä°smail Å. GÃ¼loÄlu +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.GR2026

Fixing size and Fitting height

Ä°smail Å. GÃ¼loÄlu, GÃ¼lin Ercan

Let $G$ be a finite solvable group on which a nilpotent group $A$ acts by automorphisms. The fixing size $c (G; A)$ of $A$ on $G$ is the number of $A$ -composition factors on…

math.GR2024

Noncoprime action of a cyclic group

GÃ¼lin Ercan, Ä°smail Å. GÃ¼loÄlu

Let $A$ be a finite nilpotent group acting fixed point freely on the finite (solvable) group $G$ by automorphisms. It is conjectured that the nilpotent length of $G$ is bounded abo…