The solubility graph associated with a finite group-Reference-Cited by-同舟云学术

The solubility graph associated with a finite group

Published:2020-08-28 Issue:08 Volume:30 Page:1555-1564
ISSN:0218-1967
Container-title:International Journal of Algebra and Computation
language:en
Short-container-title:Int. J. Algebra Comput.

Author:

Akbari B.¹,Lewis Mark L.²,Mirzajani J.³,Moghaddamfar A. R.³

Affiliation:

1. Department of Mathematics, Sahand University of Technology, Tabriz, Iran

2. Department of Mathematical Sciences, Kent State University, Kent, Ohio 44242, United States of America

3. Faculty of Mathematics, K. N. Toosi University of Technology, P. O. Box 16765–3381, Tehran, Iran

Abstract

The solubility graph associated with a finite group [Formula: see text] is a simple graph whose vertices are the elements of [Formula: see text], and there is an edge between two distinct elements [Formula: see text] and [Formula: see text] if and only if [Formula: see text] is a soluble subgroup of [Formula: see text]. We examine some properties of solubility graphs.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218196720500538

Reference13 articles.

1. A generalization of prime graphs of finite groups

2. Graph Theory

3. Finite groups in which some property of two-generator subgroups is transitive

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