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

Costantino Delizia; Heiko Dietrich; Primoz Moravec; Chiara Nicotera

doi:10.1016/j.jalgebra.2016.04.035

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

Costantino Delizia
, Heiko Dietrich
, Primoz Moravec
, Chiara Nicotera

School of Mathematics

Research output: Contribution to journal › Article › Research › peer-review

13 Citations (Scopus)

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 language	English
Pages (from-to)	23-36
Number of pages	14
Journal	Journal of Algebra
Volume	462
DOIs	https://doi.org/10.1016/j.jalgebra.2016.04.035
Publication status	Published - 2016

Keywords

Centralizer
Non-abelian subgroup
Self-centralizing subgroup

Access to Document

10.1016/j.jalgebra.2016.04.035

3640661-oaAccepted author manuscript, 296 KBLicence: CC BY-NC-ND

Computing with matrix groups and Lie algebras: new concepts and applications
Dietrich, H. (Primary Chief Investigator (PCI))
ARC - Australian Research Council
1/02/14 → 1/02/17
Project: Research

Cite this

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title = "Groups in which every non-abelian subgroup is self-centralizing",

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.",

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author = "Costantino Delizia and Heiko Dietrich and Primoz Moravec and Chiara Nicotera",

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T1 - Groups in which every non-abelian subgroup is self-centralizing

AU - Delizia, Costantino

AU - Dietrich, Heiko

AU - Moravec, Primoz

AU - Nicotera, Chiara

PY - 2016

Y1 - 2016

N2 - 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.

AB - 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.

KW - Centralizer

KW - Non-abelian subgroup

KW - Self-centralizing subgroup

U2 - 10.1016/j.jalgebra.2016.04.035

DO - 10.1016/j.jalgebra.2016.04.035

M3 - Article

SN - 0021-8693

VL - 462

SP - 23

EP - 36

JO - Journal of Algebra

JF - Journal of Algebra

ER -

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

Abstract

Keywords

Access to Document

Projects

Computing with matrix groups and Lie algebras: new concepts and applications

Cite this