Proportions of vanishing elements in finite groups

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

Authors

  • Lucia Morotti
  • Hung P. Tong-Viet

Research Organisations

External Research Organisations

  • Binghamton University
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Details

Original languageEnglish
Pages (from-to)441-457
Number of pages17
JournalIsrael journal of mathematics
Volume246
Issue number1
Early online date10 Dec 2021
Publication statusPublished - Dec 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 subject areas

Cite this

Proportions of vanishing elements in finite groups. / Morotti, Lucia; Tong-Viet, Hung P.
In: Israel journal of mathematics, Vol. 246, No. 1, 12.2021, p. 441-457.

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

Morotti L, Tong-Viet HP. Proportions of vanishing elements in finite groups. Israel journal of mathematics. 2021 Dec;246(1):441-457. Epub 2021 Dec 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 ; Vol. 246, No. 1. pp. 441-457.
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