A Presentation of the Groups PSL(2, p)
Canadian journal of mathematics, Tome 20 (1968) no. 1, pp. 1432-1438
Voir la notice de l'article provenant de la source Cambridge University Press
In the present paper, we shall prove the following result.Theorem A. The groups PSL(2, p) can be presented by the following system of generators and relations: 1.1 This theorem considerably improves earlier results of Bussey, Frasch, and Todd (cf. 2, pp. 93-96). The presentation of Frasch reads as follows: 1.2
Behr, H.; Mennicke, J. A Presentation of the Groups PSL(2, p). Canadian journal of mathematics, Tome 20 (1968) no. 1, pp. 1432-1438. doi: 10.4153/CJM-1968-144-7
@article{10_4153_CJM_1968_144_7,
author = {Behr, H. and Mennicke, J.},
title = {A {Presentation} of the {Groups} {PSL(2,} p)},
journal = {Canadian journal of mathematics},
pages = {1432--1438},
year = {1968},
volume = {20},
number = {1},
doi = {10.4153/CJM-1968-144-7},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1968-144-7/}
}
[1] 1. Behr, H., Über die endliche Definierbarkeit verallgemeinerter Einheitengruppen, J. Reine Angew. Math. 211 (1962), 123–135. Google Scholar
[2] 2. Coxeter, H. S. M. and Moser, W. O. J., Generators and relations for discrete groups (Springer-Verlag, Berlin, 1957).10.1007/978-3-662-25739-5 Google Scholar | DOI
[3] 3. Mennicke, J., On Ihara's modular groups. I (mimeographed notes, University of Gôttingen, April, 1967). Google Scholar
[4] 4. Mennicke, J., On Ihara's modular group, Invent. Math. 4 (1967), 202–228. Google Scholar
Cité par Sources :