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Gill, N.; Pyber, L. and Szabó, E.
(2020).
DOI: https://doi.org/10.1112/blms.12338
Abstract
We prove that if is a finite simple group of Lie type and
are subsets of
satisfying
for some
depending only on the rank of
, then there exist elements
such that
. This theorem generalizes an earlier theorem of the authors and Short.
We also propose two conjectures that relate our result to one of Rodgers and Saxl pertaining to conjugacy classes in , as well as to the Product Decomposition Conjecture of Liebeck, Nikolov and Shalev.
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About
- Item ORO ID
- 79571
- Item Type
- Journal Item
- ISSN
- 0024-6093
- Project Funding Details
-
Funded Project Name Project ID Funding Body On the product decomposition conjecture for finite simple groups EP/N010957/1 EPSRC (Engineering and Physical Sciences Research Council) - Academic Unit or School
-
Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
Faculty of Science, Technology, Engineering and Mathematics (STEM) - Copyright Holders
- © 2020 N. Gill, © 2020 L. Pyber, © 2020 E. Szabó
- Depositing User
- Nick Gill