Hostname: page-component-5c6d5d7d68-ckgrl Total loading time: 0 Render date: 2024-08-06T12:26:15.098Z Has data issue: false hasContentIssue false

Efficient Presentations of the Groups PSL(2, 2p) and SL(2, 2p)

Published online by Cambridge University Press:  20 November 2018

E. F. Robertson
Affiliation:
Mathematical Institute, University of St Andrews, St Andrews KYI6 9SS, Scotland
P. D. Williams
Affiliation:
California State University, San Bernardino, California 92407, U.S.A.
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

Presentations which have a minima] number of defining relations are given for the groups SL(2, 2p) and PSL(2, 2p) where p is a prime greater than 3.

Keywords

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1989

References

1. Behr, H. and Mennicke, J., A presentation of the groups PSL(2, q), Canad. J. Math. 20 (1968), pp. 14321438. Google Scholar
2. Beyl, F. R., The Schur multiplicator of SL(2, Z/mZ) and the congruence subgroup property, Math. Z. 191 (1986), pp. 2342. Google Scholar
3. Campbell, C. M. and E. F. Robertson, A deficiency zero presentation for SL(2, p), Bull. London Math. Soc. 12 (1980), pp. 1720. Google Scholar
4. , The efficiency of simple groups of order <105 , Comm. Alg. 10 (1982), pp. 217225. Google Scholar
5. Sunday, J. G., Presentations of the groups SL(2, m) and PSL(2, m), Canad. J. Math. 24 (1972), pp. 11291131. Google Scholar