Rapid growth in finite simple groups

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Title: Rapid growth in finite simple groups
Authors: Liebeck, MW
Schul, G
Shalev, A
Item Type: Journal Article
Abstract: We show that small normal subsets A of finite simple groups grow very rapidly – namely, |A2 | ≥ |A| 2− , where > 0 is arbitrarily small. Extensions, consequences, and a rapid growth result for simple algebraic groups are also given.
Issue Date: 13-Jun-2017
Date of Acceptance: 10-Mar-2016
URI: http://hdl.handle.net/10044/1/30915
DOI: https://dx.doi.org/10.1090/tran/6935
ISSN: 1088-6850
Publisher: American Mathematical Society
Start Page: 2765
End Page: 8779
Journal / Book Title: Transactions of the American Mathematical Society
Volume: 369
Copyright Statement: © 2017 American Mathematical Society
Keywords: Science & Technology
Physical Sciences
0101 Pure Mathematics
General Mathematics
Publication Status: Published
Appears in Collections:Pure Mathematics
Faculty of Natural Sciences

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