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Research Article | Open Access

Finite groups for which all proper subgroups have consecutive character degrees

School of Mathematics, Lianhu Campus, Sichuan University of Arts and Science, Dazhou, Sichuan 635000, China
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Abstract

Huppert and Qian et al. classified finite groups for which all irreducible character degrees are consecutive. The aim of this paper is to determine the structure of finite groups whose irreducible character degrees of their proper subgroups are all consecutive.

Keywords

simple groupproper subgroupcharacter degreesolvable group
CLC number: 20C15, 20C33

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AIMS Mathematics
Volume 8 Issue 3,
March 2023
Pages 5745-5762
DOI: 10.3934/math.2023289

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Cite this article:
Liu S. Finite groups for which all proper subgroups have consecutive character degrees. AIMS Mathematics, 2023, 8(3): 5745-5762. https://doi.org/10.3934/math.2023289

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Received: 07 November 2022
Revised: 11 December 2022
Accepted: 15 December 2022
Published: 15 March 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)