Groups of Miller-Moreno type and locally finite groups with min-2.

Date

1984

Author

Kuzucuoğlu, Mahmut

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https://hdl.handle.net/11511/3111

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Graduate School of Natural and Applied Sciences, Thesis

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GROUPS WHOSE PROPER SUBGROUPS HAVE RESTRICTED INFINITE CONJUGACY CLASSES De Falco, Maria; De Giovanni, Francesco; Kuzucuoğlu, Mahmut; Musella, Carmela (2017-01-01) A group G is said to have the AFC-property if for each element x of G at least one of the indices vertical bar G : C-G (x)vertical bar and vertical bar C-G (x) : x vertical bar is finite. The class of AFC-groups, which generalize FC-groups, has been studied by De Falco et al. (2017) and Shalev (1994). Here the structure of groups whose proper subgroups have the AFC-property is investigated.
Groups of automorphisms with TNI-centralizers Ercan, Gülin (2018-03-15) A subgroup H of a finite group G is called a TNI-subgroup if N-G(H) boolean AND H-9 = 1 for any g is an element of G \ N-G (H). Let A be a group acting on G by automorphisms where C-G(A) is a TNI-subgroup of G. We prove that G is solvable if and only if C-G(A) is solvable, and determine some bounds for the nilpotent length of G in terms of the nilpotent length of C-G(A) under some additional assumptions. We also study the action of a Frobenius group FH of automorphisms on a group G if the set of fixed point...
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Characterizations of Riesz spaces with b-property Alpay, Safak; ERCAN, ZAFER (Springer Science and Business Media LLC, 2009-02-01) A Riesz space E is said to have b-property if each subset which is order bounded in E(similar to similar to) is order bounded in E. The relationship between b-property and completeness, being a retract and the absolute weak topology vertical bar sigma vertical bar (E(similar to), E) is studied. Perfect Riesz spaces are characterized in terms of b-property. It is shown that b-property coincides with the Levi property in Dedekind complete Frechet lattices.
Finite groups admitting fixed-point free automorphisms of order pqr Ercan, Gülin (Walter de Gruyter GmbH, 2004-01-01)

Citation Formats

M. Kuzucuoğlu, “Groups of Miller-Moreno type and locally finite groups with min-2.,” Middle East Technical University, 1984.