Mimar Sinan Fine Arts University Institutional Repository
DSpace@MSGSÜ digitally stores academic resources such as books, articles, dissertations, bulletins, reports, research data published directly or indirectly by Mimar Sinan Fine Arts University in international standarts, helps track the academic performance of the university, provides long term preservation for resources and makes publications available to Open Access in accordance with their copyright to increase the effect of publications.
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In Ersoy et al. [J. Algebra 481 (2017), 1-11], we have proved that if G is a locally finite group with an elementary abelian p-subgroup A of order strictly greater than p(2) such that C-G(A) is Chernikov and for every ...
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Hartley asked the following question: Is the centralizer of every finite subgroup in a simple non-linear locally finite group infinite? We answer a stronger version of this question for finite K-semisimple subgroups. Namely ...
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In this paper, we prove that a finite group with a splitting automorphism of odd order is solvable. By using this result, we prove that a locally finite group with a splitting automorphism of odd order is locally solvable.
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Let G := Pi(i is an element of I) G(i) be the restricted free profinite product of prosoluble groups G(i). We contribute to the description of prosoluble subgroups of such G. In particular, the question of existence of a ...
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An element of a group is called anticentral if the conjugacy class of that element is equal to the coset of the commutator subgroup containing that element. A group is called Camina group if every element outside the ...
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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(#). ...
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The structure of locally finite groups with an involution whose centralizer has finite rank was described by Kuzucuo and Shumyatsky. In this paper, we investigate the structure of locally finite groups with an element of ...
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In this paper we deal with locally graded groups whose subgroups are either subnormal or soluble of bounded derived length, say d. In particular, we prove that every locally (soluble-by-finite) group with this property is ...
