K. Ersoy

collaborators

4 papers

math.GR2026

Brauer-Fowler Bounds for Elements of Odd Prime Order

Alessandro Dioguardi Burgio, Kıvanç Ersoy, Edoardo Salati

The Brauer--Fowler theorem bounds the order of a finite simple group in terms of the order of the centralizer of an involution. Hartley proved an automorphism version, bounding the…

math.GR2026

Inverse ambiguous maps on infinite groups

Sezen Bostan, Kıvanç Ersoy

Let $G$ be a group. A bijection $f : G \to G$ is called inverse ambiguous if $f^{- 1} (x) = f (x)^{- 1}$ for every $x \in G$ . We prove that every infinite group admits an inverse ambig…

math.GR2026

A residually finite analogue of Kegel's theorem on splitting automorphisms

Alfonso Di Bartolo, KÄ±vanÃ§ Ersoy, Kıvanç Ersoy +1

Thompson proved that every finite group admitting a fixed-point-free automorphism of prime order is nilpotent, and Kegel showed that the same conclusion holds for finite groups adm…

math.GR2026

On minimal non-sofic and $I ¨ $ -non-sofic groups

KÄ±vanÃ§ Ersoy

We investigate structural properties of non-sofic groups, assuming that such groups exist. We introduce and study two classes: minimal non-sofic groups and $I ¨ $ -non-sofic groups. F…

Brauer-Fowler Bounds for Elements of Odd Prime Order

Inverse ambiguous maps on infinite groups

A residually finite analogue of Kegel's theorem on splitting automorphisms

On minimal non-sofic and I¨-non-sofic groups

On minimal non-sofic and $I ¨ $ -non-sofic groups