Publication details
Proportions of vanishing elements in finite groups
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.
Details
- 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
- General Mathematics
- Electronic version(s)
-
https://arxiv.org/abs/2007.16081 (Access:
Open
)
https://doi.org/10.1007/s11856-021-2256-4 (Access: Closed )
