Groups whose elements are not conjugate to their powers

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

Authors

  • Andreas Bächle
  • Benjamin Sambale

External Research Organisations

  • Vrije Universiteit Brussel
  • University of Kaiserslautern
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Details

Original languageEnglish
Pages (from-to)447-454
Number of pages8
JournalArchiv der Mathematik
Volume110
Issue number5
Publication statusPublished - 1 May 2018
Externally publishedYes

Abstract

We call a finite group irrational if none of its elements is conjugate to a distinct power of itself. We prove that those groups are solvable and describe certain classes of these groups, where the above property is only required for p-elements, for p from a prescribed set of primes.

Keywords

    Rational groups

ASJC Scopus subject areas

Cite this

Groups whose elements are not conjugate to their powers. / Bächle, Andreas; Sambale, Benjamin.
In: Archiv der Mathematik, Vol. 110, No. 5, 01.05.2018, p. 447-454.

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

Bächle A, Sambale B. Groups whose elements are not conjugate to their powers. Archiv der Mathematik. 2018 May 1;110(5):447-454. doi: 10.1007/s00013-018-1155-3
Bächle, Andreas ; Sambale, Benjamin. / Groups whose elements are not conjugate to their powers. In: Archiv der Mathematik. 2018 ; Vol. 110, No. 5. pp. 447-454.
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