Rapid growth in finite simple groups

Martin W. Liebeck; Gili Schul; Aner Shalev

doi:10.1090/tran/6935

Rapid growth in finite simple groups

Martin W. Liebeck
, Gili Schul
, Aner Shalev

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

We show that small normal subsets A of finite simple groups grow very rapidly; namely, (formula presented), where ε > 0 is arbitrarily small. Extensions, consequences, and a rapid growth result for simple algebraic groups are also given.

Original language	English
Pages (from-to)	8765-8779
Number of pages	15
Journal	Transactions of the American Mathematical Society
Volume	369
Issue number	12
DOIs	https://doi.org/10.1090/tran/6935
State	Published - Dec 2017

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© 2017 American Mathematical Society.

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title = "Rapid growth in finite simple groups",

abstract = "We show that small normal subsets A of finite simple groups grow very rapidly; namely, (formula presented), where ε > 0 is arbitrarily small. Extensions, consequences, and a rapid growth result for simple algebraic groups are also given.",

author = "Liebeck, \{Martin W.\} and Gili Schul and Aner Shalev",

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year = "2017",

month = dec,

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Rapid growth in finite simple groups

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