G. Ercan

collaborators

4 papers

math.GR2026

Ideals and Solvability in Skew Braces

Marco Damele, GÃ¼lin Ercan

We investigate how nilpotency assumptions on the multiplicative group of a finite skew brace constrain its ideal structure and solvability. Our first main result shows that, if \(B…

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

Sylow theory and the nilpotency class of left nilpotent skew braces

GÃ¼lin Ercan, ÅÃ¼kran GÃ¼l, Ä°smail Å. GÃ¼loÄlu +1

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

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…