Groups in which every non-abelian subgroup is self-centralizing

Costantino Delizia, Heiko Dietrich, Primoz Moravec, Chiara Nicotera

Research output: Contribution to journalArticleResearchpeer-review

Abstract

We study groups having the property that every non-abelian subgroup contains its centralizer. We describe various classes of infinite groups in this class, and address a problem of Berkovich regarding the classification of finite p-groups with the above property.
Original languageEnglish
Pages (from-to)23-36
Number of pages14
JournalJournal of Algebra
Volume462
DOIs
Publication statusPublished - 2016

Keywords

  • Centralizer
  • Non-abelian subgroup
  • Self-centralizing subgroup

Cite this

Delizia, Costantino ; Dietrich, Heiko ; Moravec, Primoz ; Nicotera, Chiara. / Groups in which every non-abelian subgroup is self-centralizing. In: Journal of Algebra. 2016 ; Vol. 462. pp. 23-36.
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Groups in which every non-abelian subgroup is self-centralizing. / Delizia, Costantino; Dietrich, Heiko; Moravec, Primoz; Nicotera, Chiara.

In: Journal of Algebra, Vol. 462, 2016, p. 23-36.

Research output: Contribution to journalArticleResearchpeer-review

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KW - Self-centralizing subgroup

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