On a theorem of Blichfeldt

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

Autoren

  • Benjamin Sambale

Externe Organisationen

  • Technische Universität Kaiserslautern
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Details

OriginalspracheEnglisch
Seiten (von - bis)221-225
Seitenumfang5
FachzeitschriftExpositiones mathematicae
Jahrgang35
Ausgabenummer2
PublikationsstatusVeröffentlicht - Juni 2017
Extern publiziertJa

Abstract

Let G be a permutation group on n<∞ objects. Let f(g) be the number of fixed points of g∈G, and let {f(g):1≠g∈G}={f1,…,fr}. In this expository note we give a character-free proof of a theorem of Blichfeldt which asserts that the order of G divides (n−f1)…(n−fr). We also discuss the sharpness of this bound.

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On a theorem of Blichfeldt. / Sambale, Benjamin.
in: Expositiones mathematicae, Jahrgang 35, Nr. 2, 06.2017, S. 221-225.

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

Sambale B. On a theorem of Blichfeldt. Expositiones mathematicae. 2017 Jun;35(2):221-225. doi: 10.1016/j.exmath.2016.10.002
Sambale, Benjamin. / On a theorem of Blichfeldt. in: Expositiones mathematicae. 2017 ; Jahrgang 35, Nr. 2. S. 221-225.
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