Gill, Nick and Pyber, László and Short, Ian and Szabó, Endre (2013) On the product decomposition conjecture for finite simple groups. GROUPS GEOMETRY AND DYNAMICS, 7 (4). pp. 867-882. ISSN 1661-7207
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Official URL: http://arxiv.org/abs/1111.3497
Abstract
We prove that if G is a finite simple group of Lie type and S is a subset of G of size at least two, then G is a product of at most c log|G|/log |S| conjugates of S, where c depends only on the Lie rank of G. This confirms a conjecture of Liebeck, Nikolov and Shalev in the case of families of simple groups of bounded rank. We also obtain various related results about products of conjugates of a set within a group. © European Mathematical Society.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | WIDTH; simple group; Product Theorem; Doubling Lemma; conjugacy |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 31 Jan 2014 08:45 |
| Last Modified: | 31 Jan 2014 08:45 |
| URI: | http://real.mtak.hu/id/eprint/9450 |
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