On the number of components of a graph related to character degrees-Reference-Cited by-同舟云学术

On the number of components of a graph related to character degrees

Published:1988 Issue:1 Volume:103 Page:31-37
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Manz O.,Staszewski R.,Willems W.

Abstract

We connect two nonlinear irreducible character of a finite group G G if their degrees have a common prime divisor. In this paper we show that the corresponding graph has at most three connected components.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1988-103-01/S0002-9939-1988-0938639-1/S0002-9939-1988-0938639-1.pdf

Reference17 articles.

1. Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences];Huppert, Bertram,1982

2. The characters of 𝐺₂(𝑞);Chang, Bomshik,1974

3. Character table and blocks of finite simple triality groups ³𝐷₄(𝑞);Deriziotis, D. I.;Trans. Amer. Math. Soc.,1987

4. The characters of the finite Chevalley group 𝐺₂(𝑞),𝑞=3^{𝑓};Enomoto, Hikoe;Japan. J. Math. (N.S.),1976

Cited by 68 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Laplacian Eigenvalues of Character Degree Graphs of Solvable Groups;Vietnam Journal of Mathematics;2024-09-09

2. Eulerian character degree graphs of solvable groups;AKCE International Journal of Graphs and Combinatorics;2024-02-06

3. COMMON ZEROS OF IRREDUCIBLE CHARACTERS;Journal of the Australian Mathematical Society;2023-12-11

4. Non-solvable Groups whose Character Degree Graph has a Cut-Vertex. I;Vietnam Journal of Mathematics;2023-06-21

5. 5-Regular prime graphs of finite nonsolvable groups;Journal of Group Theory;2023-06-08