About
My research interests include simple groups of Lie type, finite and locally finite groups, automorphisms of groups, linear algebraic groups, profinite groups, existentially closed groups, and their generalizations.
You can find a summary of my research in my Habilitation thesis and further academic information in my CV.
Articles
A residually finite analogue of Kegel's theorem on splitting automorphisms
submitted
Automorphisms, centralizers and maximal subgroups in κ-existentially closed groups
To appear
κ-existentially closed groups and centralizers
J. Algebra, Volume 679, 1 October 2025, Pages 37–55
Centralizers of p-subgroups in simple locally finite groups
Glasgow Mathematical Journal, Volume 62, Issue 1, January 2020, pp. 183–186
Free profinite products of prosoluble groups
J. Algebra, Vol. 529, 1 July 2019, pp. 54–64
Locally finite groups and their subgroups with small centralizers
J. Algebra, Vol. 481, 1 July 2017, pp. 1–11
Locally finite groups with centralizers of finite rank
Comm. Algebra, Vol. 44, Issue 12 (2016), pp. 5074–5087
Finite groups with a splitting automorphism of odd order
Archiv der Mathematik, May 2016, Volume 106, Issue 5, pp. 401–407
On groups with all subgroups subnormal or soluble of bounded derived length
Glasgow Mathematical Journal, Volume 56, Issue 01, January 2014, pp. 221–227
Infinite groups with an anticentral element
Comm. Algebra, Vol. 40, Issue 12 (2012), pp. 4627–4638
Centralizers of subgroups in simple locally finite groups
J. Group Theory, 15, Issue 1, January 2012, pp. 9–22
Habilitation Thesis
- Ersoy, K., “Centralizers and fixed points of automorphisms in finite and locally finite groups” , Habilitation Thesis, FU Berlin, November 2019.
Teaching
This term I am teaching a seminar on Sofic and Hyperlinear Groups at FU Berlin.
Previous terms, I taught the following courses in FU Berlin:
Organized Conferences
- I co-organized Group Theory in Berlin 2019 and Groups and Topological Groups, Berlin 2022 .
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I also co-organized:
- GTG 2014 Istanbul
- Antalya Algebra Days 2011
- Antalya Algebra Days 2015