Imperial College London
Professor Martin Liebeck

ProfessorMartinLiebeck

Faculty of Natural Sciences, Department of Mathematics

Head of Pure Mathematics Section/Prof of Pure Mathematics
 
 
 
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Contact

 

+44 (0)20 7594 8490m.liebeck Website

 
 
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Location

 

665Huxley BuildingSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Liebeck:2017:tran/6935,
author = {Liebeck, MW and Schul, G and Shalev, A},
doi = {tran/6935},
journal = {Transactions of the American Mathematical Society},
pages = {2765--8779},
title = {Rapid growth in finite simple groups},
url = {http://dx.doi.org/10.1090/tran/6935},
volume = {369},
year = {2017}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - We show that small normal subsets A of finite simple groups growvery rapidly – namely, |A2| ≥ |A|2− , where   > 0 is arbitrarily small.Extensions, consequences, and a rapid growth result for simple algebraicgroups are also given.
AU  - Liebeck,MW
AU  - Schul,G
AU  - Shalev,A
DO  - tran/6935
EP  - 8779
PY  - 2017///
SN  - 1088-6850
SP  - 2765
TI  - Rapid growth in finite simple groups
T2  - Transactions of the American Mathematical Society
UR  - http://dx.doi.org/10.1090/tran/6935
UR  - http://hdl.handle.net/10044/1/30915
VL  - 369
ER  -
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