Rapid growth in finite simple groups
File(s)
Accepted version
Author(s)
Liebeck, MW
Schul, G
Shalev, A
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.
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.
Date Issued
2017-06-13
Date Acceptance
2016-03-10
Citation
Transactions of the American Mathematical Society, 2017, 369, pp.2765-8779
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
Subjects
Science & Technology
Physical Sciences
Mathematics
LIE TYPE
0101 Pure Mathematics
General Mathematics
Publication Status
Published