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Journal of Mathematical Sciences

, Volume 199, Issue 3, pp 261–265 | Cite as

Infinite Groups with Rank Restrictions on Subgroups

  • F. de Giovanni
Article
  • 44 Downloads

Classical results by Mal’cev and Šunkov show that locally nilpotent groups and locally finite groups of infinite rank must contain some Abelian subgroups of infinite rank. In recent years, many authors have studied groups in which all subgroups of infinite rank have a given property (which can be either absolute or of embedding type). Results from these researches and some new contributions to this topic are described in this paper.

Keywords

Normal Subgroup Conjugacy Class Nilpotent Group Abelian Subgroup Proper Subgroup 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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© Springer Science+Business Media New York 2014

Authors and Affiliations

  1. 1.Dipartimento di Matematica e Applicazioni Università di Napoli Federico IIComplesso Universitario Monte S. Angelo Via CintiaNapoliItaly

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