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Hurwitz Groups of Intermediate Rank

Published online by Cambridge University Press:  01 February 2010

M. Vsemirnov
M. Vsemirnov
Affiliation:
Sidney Sussex College, Sidney Street, Cambridge CB2 3HU, United Kingdom, m.vsemirnov@dpmms.cam.ac.uk, vsemir@pdmi.ras.ru, http://logic.pdmi.ras.ru/~vsemir

Abstract

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This paper is concerned with (2, 3, 7)-generated linear groups of ranks less than 287. In particular, sixty new values of n are found, such that the groups SLn (q) are Hurwitz for any prime power q. This result provides the next step in deciding which classical groups are Hurwitz.

Type
Research Article
Information
LMS Journal of Computation and Mathematics , Volume 7 , 2004 , pp. 300 - 336
Copyright
Copyright © London Mathematical Society 2004

References

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Supplementary material: File

JCM 7 Vsemirnov Appendix C

Vsemirnov Appendix C

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