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)
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Official URL: http://dx.doi.org/10.1017/S1446788716000458
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 |
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