Proportions of vanishing elements in finite groups

authored by

Lucia Morotti, Hung P. Tong-Viet

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.

Organisation(s)

Institute of Algebra, Number Theory and Discrete Mathematics

External Organisation(s)

Binghamton University

Type

Article

Journal

Israel journal of mathematics

Volume

246

Pages

441-457

No. of pages

17

ISSN

0021-2172

Publication date

12.2021

Publication status

Published

Peer reviewed

Yes

ASJC Scopus subject areas

Mathematics(all)

Electronic version(s)

https://arxiv.org/abs/2007.16081 (Access: Open)
https://doi.org/10.1007/s11856-021-2256-4 (Access: Closed)