Publications

Research papers.

  1. A note on pseudofinite groups of finite centraliser dimension. To appear in Journal of Group Theory (2021). ArXiv version.

  2. Locally finite groups of finite centralizer dimension. Joint with Alexandre V. Borovik. Journal of Group Theory 22 (2019) 729–740. ArXiv version.

  3. Definably simple stable groups with finitary groups of automorphisms. Journal of Symbolic Logic 84 (2019), 704–712. ArXiv version.

Preprints.

  1. On small groups of finite Morley rank with a tight automorphism. Joint with Pınar Uğurlu. ArXiv (2021).


PhD thesis.

I obtained my PhD from the University of Manchester in Spring 2020. My supervisor was Alexandre Borovik. In my thesis, I proved a general theorem describing the structure of locally finite groups of finite centraliser dimension (jointly with my supervisor). Also, I proved the following two classifications

  1. Infinite definably simple locally finite groups of finite centraliser dimension are isomorphic to simple groups of Lie type over locally finite fields.

  2. Infinite definably simple stable groups admitting a finitary automorphism group A (a group A of special kind of automorphisms which, in particular, have finite fixed point subgroups) are isomorphic to Chevalley groups over algebraically closed fields of positive characteristic.

My PhD theses.