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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

20D08 Simple groups: sporadic groups
20F65 Geometric group theory
20F29 Representations of groups as automorphism groups of algebraic systems
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