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

Abdelhafid Badis; Nadir Trabelsi

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Displaying similar documents to “Groups whose proper subgroups are Baer-by-Chernikov or Baer-by-(finite rank)”

Locally soluble groups with all nontrivial normal subgroups isomorphic.

John C. Lennox, Howard Smith, James Wiegold (1994)

Publicacions Matemàtiques

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Let G be an infinite, locally soluble group which is isomorphic to all its nontrivial normal subgroups. If G/G' has finite p-rank for p = 0 and for all primes p, then G is cyclic.

Groups with the weak minimal condition for non-subnormal subgroups II

Leonid A. Kurdachenko, Howard Smith (2005)

Commentationes Mathematicae Universitatis Carolinae

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Let $G$ be a group with the property that there are no infinite descending chains of non-subnormal subgroups of $G$ for which all successive indices are infinite. The main result is that if $G$ is a locally (soluble-by-finite) group with this property then either $G$ has subgroups subnormal or $G$ is a soluble-by-finite minimax group. This result fills a gap left in an earlier paper by the same authors on groups with the stated property.

Groups with all subgroups subnormal or nilpotent-by-Chernikov

Howard Smith (2011)

Rendiconti del Seminario Matematico della Università di Padova

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A note on groups of finite rank

Derek J. S. Robinson (1969)

Compositio Mathematica

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Artinian and noetherian factorized groups

Bernhard Amberg (1976)

Rendiconti del Seminario Matematico della Università di Padova

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Groups with all subgroups permutable or of finite rank

Martyn Dixon, Yalcin Karatas (2012)

Open Mathematics

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In this paper we investigate the structure of X-groups in which every subgroup is permutable or of finite rank. We show that every subgroup of such a group is permutable.

Soluble products of nilpotent groups

John C. Lennox, Derek J. S. Robinson (1980)

Rendiconti del Seminario Matematico della Università di Padova

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Soluble products of two locally finite groups with min- $p$ for every prime $p$

Bernhard Amberg (1983)

Rendiconti del Seminario Matematico della Università di Padova

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