Non-nilpotent subgroups of locally graded groups

Mohammad Zarrin

Displaying similar documents to “Non-nilpotent subgroups of locally graded groups”

Nilpotent Subgroups of Finite Soluble Groups.

John S. Rose (1968)

Mathematische Zeitschrift

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Groups whose proper subgroups are Baer-by-Chernikov or Baer-by-(finite rank)

Abdelhafid Badis, Nadir Trabelsi (2011)

Open Mathematics

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Our main result is that a locally graded group whose proper subgroups are Baer-by-Chernikov is itself Baer-by-Chernikov. We prove also that a locally (soluble-by-finite) group whose proper subgroups are Baer-by-(finite rank) is itself Baer-by-(finite rank) if either it is locally of finite rank but not locally finite or it has no infinite simple images.

Locally graded groups with certain minimal conditions for subgroups (II).

Javier Otal, Juan Manuel Peña (1988)

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This paper deals with one of the ways of studying infinite groups many of whose subgroups have a prescribed property, namely the consideration of minimal conditions. If P is a theoretical property of groups and subgroups, we show that a locally graded group P satisfies the minimal conditions for subgroups not having P if and only if either G is a Cernikov group or every subgroup of G satisfies P, for certain values of P concerning normality, nilpotency and related ideas.

Nilpotent self-normalizing subgroups of soluble groups.

Roger W. Carter (1961)

Mathematische Zeitschrift

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Howard Smith (2011)

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On finite groups with p-nilpotent subgroups.

Z. Janko, M.F. Newman (1963)

Mathematische Zeitschrift

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FC-nilpotent products of hypercentral groups.

B. AMBERG, S. Franciosi, F. Giovanni (1995)

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Subgroups of finite index in nilpotent groups.

D. Segal, F.J. Grunewald, G.C. Smith (1988)

Inventiones mathematicae

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The structure of finite groups and ɵ-pairs of general subgroups

Yong Xu, Hailong Hou, Xinjian Zhang (2015)

Open Mathematics

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Using the concept of ɵ-pairs of proper subgroups of a finite group, we obtain some critical conditions of the supersolvability and nilpotency of finite groups.

Groups with the Minimal Condition on Non-“Nilpotent-by-Finite” Subgroups

Artemovych, O. (2002)

Serdica Mathematical Journal

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We characterize the groups which do not have non-trivial perfect sections and such that any strictly descending chain of non-“nilpotent-by-finite” subgroups is finite.

О локально нильпотентных группах с условием минимальности для централизаторов.

В.В. Блудов, V. V. Bludov, V. V. Bludov, V. V. Bludov (1998)

Algebra i Logika

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Artinian and noetherian factorized groups

Bernhard Amberg (1976)

Rendiconti del Seminario Matematico della Università di Padova

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