×

zbMATH — the first resource for mathematics

Representing \(M_{11}\), \(M_{12}\), \(M_{22}\) and \(M_{23}\) on surfaces of least genus. (English) Zbl 0701.20012
For a finite group G we define the genus g(G) of G to be the least integer g so that G acts effectively and orientably on the closed orientable surface \(S_ g\) of genus g. In this paper is determined the genus of each of the groups \(M_{11}\), \(M_{12}\), \(M_{22}\) and \(M_{23}\).
Reviewer: Z.Janko

MSC:
20D08 Simple groups: sporadic groups
20F65 Geometric group theory
20F29 Representations of groups as automorphism groups of algebraic systems
PDF BibTeX Cite
Full Text: DOI
References:
[1] DOI: 10.1090/S0002-9947-1987-0871669-0
[2] DOI: 10.1016/0095-8956(85)90047-4 · Zbl 0547.20002
[3] Conway, J.H., Curtis, R.T., Norton, S.P., Parker, R.A. and Wilson, R.A. 1985. ”An ATLAS of Finite Groups””. Edited by: New York: Oxford Univ. Press. · Zbl 0568.20001
[4] Isaac, I.M. 1976. ”Character Theory of Finite Groups,””. Edited by: New York: Academic Press.
[5] DOI: 10.1016/0021-8693(68)90003-3
[6] DOI: 10.2307/2007076 · Zbl 0528.57008
[7] McKay J., Math. Comp 3 pp 812– (1979)
[8] Norton S.P. private communication
[9] DOI: 10.1112/jlms/s2-6.1.29 · Zbl 0251.20052
[10] Woldar A. J., Illinois J. Math 33 (1989)
[11] Woldar A. J., Illinois J. Math 33 (1989)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.