Mahmut Kuzucuoğlu

E-mail

matmah@metu.edu.tr

Department

Department of Mathematics

ORCID

0000-0002-3650-939X

Scopus Author ID

6505840439

Web of Science Researcher ID

ABA-4204-2020

EXISTENTIALLY AND κ-EXISTENTIALLY CLOSED GROUPS Kaya, Burak; Kuzucuoğlu, Mahmut (2023-03-01) A group G is existentially closed (algebraically closed) if every finite system of equations and in-equations that has coefficients in G and has a solution in an overgroup H ≥ G has a solution in G. Existentially closed gr...
Entropic characterization of Gross Domestic Product per capita (GDP) values of countries Gündüz, Güngör; Kuzucuoğlu, Mahmut; Gündüz, Yalın (2022-10-01) The historical change of Gross Domestic Product per capita (GDP) values of countries with the thirty largest economies was analyzed by using different entropies, (i) topological entropy, (ii) Shannon entropy, and (iii) con...
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...

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