Proportions of vanishing elements in finite groups

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

Autoren

  • Lucia Morotti
  • Hung P. Tong-Viet

Organisationseinheiten

Externe Organisationen

  • Binghamton University
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Details

OriginalspracheEnglisch
Seiten (von - bis)441-457
Seitenumfang17
FachzeitschriftIsrael journal of mathematics
Jahrgang246
Ausgabenummer1
Frühes Online-Datum10 Dez. 2021
PublikationsstatusVeröffentlicht - Dez. 2021

Abstract

In this paper, we study the proportion of vanishing elements of finite groups. We show that the proportion of vanishing elements of every finite non-abelian group is bounded below by 1/2 and classify all finite groups whose proportions of vanishing elements attain this bound. For symmetric groups of degree at least 5, we show that this bound is at least 2327/2520 which is best possible.

ASJC Scopus Sachgebiete

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Proportions of vanishing elements in finite groups. / Morotti, Lucia; Tong-Viet, Hung P.
in: Israel journal of mathematics, Jahrgang 246, Nr. 1, 12.2021, S. 441-457.

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

Morotti L, Tong-Viet HP. Proportions of vanishing elements in finite groups. Israel journal of mathematics. 2021 Dez;246(1):441-457. Epub 2021 Dez 10. doi: 10.1007/s11856-021-2256-4
Morotti, Lucia ; Tong-Viet, Hung P. / Proportions of vanishing elements in finite groups. in: Israel journal of mathematics. 2021 ; Jahrgang 246, Nr. 1. S. 441-457.
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