A characterization of the simple Ree groups 2𝐹4(𝑞2) by their character codegrees-Reference-Cited by-同舟云学术

A characterization of the simple Ree groups ²𝐹₄(𝑞²) by their character codegrees

Published:2023-05-23 Issue:0 Volume:0 Page:
ISSN:1433-5883
Container-title:Journal of Group Theory
language:en
Short-container-title:

Author:

Yang Yong¹^ORCID

Affiliation:

1. Three Gorges Mathematical Research Center , China Three Gorges University , Yichang , Hubei 443002 , P. R. China ; and Department of Mathematics, Texas State University, 601 University Drive, San Marcos, TX 78666, USA

Abstract

Abstract The codegree of a character 𝜒 of a finite group 𝐺 is

cod ⁡ ( χ ) := | G : ker ⁡ ( χ ) | χ ⁢ ( 1 ) .

\operatorname{cod}(\chi):=\frac{\lvert G:\ker(\chi)\rvert}{\chi(1)}.

We show that the set of codegrees of the Ree groups F 4 2 ⁢ ( q 2 )

{}^{2}F_{4}(q^{2})

( q 2 = 2 2 ⁢ n + 1

q^{2}=2^{2n+1}

, n ≥ 1

n\geq 1

) determines the groups up to isomorphism.

Funder

Simons Foundation

Publisher

Walter de Gruyter GmbH

Subject

Algebra and Number Theory

Link

https://www.degruyter.com/document/doi/10.1515/jgth-2022-0119/pdf

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