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

The Hebrew University of Jerusalem

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

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

All Science Journal Classification (ASJC) codes

Applied Mathematics
General Mathematics

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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",

note = "Publisher Copyright: {\textcopyright} 2017 American Mathematical Society.",

year = "2017",

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doi = "10.1090/tran/6935",

language = "الإنجليزيّة",

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M3 - مقالة

SN - 0002-9947

VL - 369

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EP - 8779

JO - Transactions of the American Mathematical Society

JF - Transactions of the American Mathematical Society

IS - 12

ER -

Rapid growth in finite simple groups

Abstract

All Science Journal Classification (ASJC) codes

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