On Frobenius graphs of diameter 3 for finite groups

被引：0

作者：

Breuer, T. ^{[1
]}

Hethelyi, L. ^{[2
]}

Horvath, E.

Kuelshammer, B. ^{[3
]}

机构：

[1] Rhein Westfal TH Aachen, Lehrstuhl Algebra & Zahlentheorie, Pontdriesch 14-16, D-52062 Aachen, Germany

[2] Budapest Univ Technol & Econ, Dept Algebra, Muegyetem Rkp 3, H-1111 Budapest, Hungary

[3] Friedrich Schiller Univ, Inst Math, D-07737 Jena, Germany

来源：

JOURNAL OF ALGEBRA | 2025年 / 666卷

关键词：

Frobenius graph; Core-free subgroup; Subgroup depth; SUBGROUPS;

D O I：

10.1016/j.jalgebra.2024.11.014

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a subgroup H of a finite group G, the Frobenius graph Gamma(G, H ) records the constituents of the restrictions to H of the irreducible characters of G. We investigate when this graph has diameter 3. (c) 2024 The Author(s). Published by Elsevier Inc. This is an open access article under the CC BY license (http:// creativecommons.org/licenses/by/4.0/).

引用

页码：507 / 529

页数：23

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