Odd-order groups with small average number of zeros of characters

We define, and denote by anz(G), the average number of zeros of characters of a finite group G as the number of zeros in the character table of G dividing the number of irreducible characters of G. In this paper, we classify odd-order nonabelian groups G with anz(G)≤2.

Authors

Dongfang Yang (ORCID: https://orcid.org/0000-0001-9212-6804)
Yu Zeng (ORCID: https://orcid.org/0009-0000-0263-2990)

Institutions

Suzhou University of Technology (CN)

Publication Details

Journal: Communications in Algebra
Published: 2024-08-05
DOI: https://doi.org/10.1080/00927872.2024.2382813
Primary Topic: Finite Group Theory Research
Type: article
Field-Weighted Citation Impact: 0.00

Funders

National Natural Science Foundation of China

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article

Odd-order groups with small average number of zeros of characters

Dongfang Yang, Yu Zeng

Aug 5, 2024

Communications in Algebra

Finite Group Theory Research

article

Odd-order groups with small average number of zeros of characters

Dongfang Yang, Yu Zeng

August 5, 2024article en

Abstract

Communications in AlgebraVol. 53(2)

Suzhou University of Technology (CN)

National Natural Science Foundation of China

Openalex Percentile: Top 76%

Finite Group Theory Research

DOI Source OpenAlex

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Odd-order groups with small average number of zeros of characters — Dongfang Yang, Yu Zeng · Communications in Algebra (2024) | TGRS Research Map | TGRS