REAL

ON THE GENERATING GRAPH OF A SIMPLE GROUP

Lucchini, A. and Maróti, Attila and Roney-Dougal, C. M. (2016) ON THE GENERATING GRAPH OF A SIMPLE GROUP. JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY. pp. 1-13. ISSN 1446-7887 (In Press)

[img]
Preview
Text
gengraph.pdf

Download (319kB) | Preview

Abstract

The generating graph (Formula presented.) of a finite group (Formula presented.) is the graph defined on the elements of (Formula presented.), with an edge between two vertices if and only if they generate (Formula presented.). We show that if (Formula presented.) is a sufficiently large simple group with (Formula presented.) for a finite group (Formula presented.), then (Formula presented.). We also prove that the generating graph of a symmetric group determines the group.

Item Type: Article
Uncontrolled Keywords: generating graph; finite group
Subjects: Q Science / természettudomány > QA Mathematics / matematika
SWORD Depositor: MTMT SWORD
Depositing User: MTMT SWORD
Date Deposited: 03 Jan 2017 13:04
Last Modified: 03 Jan 2017 13:04
URI: http://real.mtak.hu/id/eprint/44142

Actions (login required)

Edit Item Edit Item