E-mail
matmah@metu.edu.tr
Department
Department of Mathematics
Scopus Author ID
Web of Science Researcher ID
Automorphisms of κ -existentially closed groups
Kaya, Burak; Kuzucuoğlu, Mahmut (2022-08-01)
We investigate the automorphisms of some κ-existentially closed groups. In particular, we prove that Aut(G) is the union of subgroups of level preserving automorphisms and | Aut(G) | = 2 κ whenever κ is inaccessible and G ...
k-existentially closed groups
Kuzucuoğlu, Mahmut (2019-10-21)
Limit Monomial Groups,Institut Teknologi Bandung, Indonesia, 1-4 July 2019. (Invited Speaker).
Kuzucuoğlu, Mahmut (2019-07-01)
Normalizers of finite subgroups in homogenous symmetric groups and automorphisms
Guven, Ulviye Bursra; Kuzucuoğlu, Mahmut (Informa UK Limited, 2019-05-21)
The structure of the centralizers of finite subgroups in homogenous symmetric groups S(chi(xi)) are given up to isomorphism by Guven-Kegel-Kuzucuoglu in 2015 and Kuzucuoglu-Oliynyk-Sushchansky in 2018. In this article, we ...
On the existence of kappa-existentially closed groups
Kegel, Otto H.; Kaya, Burak; Kuzucuoğlu, Mahmut (2018-09-01)
We prove that a κ-existentially closed group of cardinality λ exists whenever κ ≤ λ are uncountable cardinals with λ^{<κ} = λ. In particular, we show that there exists a κ-existentially closed group of cardinalityκ for ...
kappa-Existentially closed groups
Kegel, Otto H.; Kuzucuoğlu, Mahmut (2018-04-01)
Let kappa is be an infinite cardinal. The class of kappa-existentially closed groups is defined and their basic properties are studied. Moreover, for an uncountable cardinal kappa, uniqueness of kappa-existentially closed ...
Regular Direct Limits of symmetric groups
Kuzucuoğlu, Mahmut (2018-03-19)
Homogeneous monomial groups and centralizers
Kuzucuoğlu, Mahmut; Sushchanskyy, Vitaly I. (2018-01-01)
The construction of homogeneous monomial groups are given and their basic properties are studied. The structure of a centralizer of an element is completely described and the problem of conjugacy of two elements is resolve...
Locally finite groups and their subgroups with small centralizers
ERSOY, KIVANÇ; Kuzucuoğlu, Mahmut; Shunwatsky, Pavel (2017-07-01)
Let p be a prime and G a locally finite group containing an elementary abelian p-subgroup A of rank at least 3 such that C-G(A) is Chernikov and C-G(a) involves no infinite simple groups for any a is an element of A(#). We...
Hall’s universal group and centralizers
Kuzucuoğlu, Mahmut (2017-05-08)
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