Burak Kaya

activity

20172024

collaborators

4 papers

math.LO2024

Limit Groups and Automorphisms of $κ$ -Existentially Closed Groups

Burak Kaya, Mahmut Kuzucuoğlu, Patrizia Longobardi +1

The structure of automorphism groups of $κ$ -existentially closed groups are studied by Kaya-Kuzucuoğlu in 2022. It was proved that Aut(G) is the union of subgroups of level preserv…

math.GR2020

Automorphisms of $κ$ -existentially closed groups

Burak Kaya, Mahmut Kuzucuoğlu

We investigate the automorphisms of some $κ$ - existentially closed groups. In particular, we prove that $A u t (G)$ is the union of subgroups of level preserving automorphisms and $|A…

math.GR2019

Descriptive complexity of subsets of the space of finitely generated groups

Mustafa Gökhan Benli, Burak Kaya

In this paper, we determine the descriptive complexity of subsets of the Polish space of marked groups defined by various group theoretic properties. In particular, using Grigorchu…

math.LO2017

On the complexity of topological conjugacy of compact metrizable $G$ -ambits

Burak Kaya

In this note, we analyze the classification problem for compact metrizable $G$ -ambits for a countable discrete group $G$ from the point of view of descriptive set theory. More prec…

Limit Groups and Automorphisms of κ-Existentially Closed Groups

Automorphisms of κ-existentially closed groups

Descriptive complexity of subsets of the space of finitely generated groups

On the complexity of topological conjugacy of compact metrizable G-ambits

Limit Groups and Automorphisms of $κ$ -Existentially Closed Groups

Automorphisms of $κ$ -existentially closed groups

On the complexity of topological conjugacy of compact metrizable $G$ -ambits