Groups whose elements are not conjugate to their powers

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Autoren

  • Andreas Bächle
  • Benjamin Sambale

Externe Organisationen

  • Vrije Universiteit Brussel
  • Technische Universität Kaiserslautern
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Details

OriginalspracheEnglisch
Seiten (von - bis)447-454
Seitenumfang8
FachzeitschriftArchiv der Mathematik
Jahrgang110
Ausgabenummer5
PublikationsstatusVeröffentlicht - 1 Mai 2018
Extern publiziertJa

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.

ASJC Scopus Sachgebiete

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Groups whose elements are not conjugate to their powers. / Bächle, Andreas; Sambale, Benjamin.
in: Archiv der Mathematik, Jahrgang 110, Nr. 5, 01.05.2018, S. 447-454.

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Bächle A, Sambale B. Groups whose elements are not conjugate to their powers. Archiv der Mathematik. 2018 Mai 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 ; Jahrgang 110, Nr. 5. S. 447-454.
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