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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

##### MSC:
 20D08 Simple groups: sporadic groups 20F65 Geometric group theory 20F29 Representations of groups as automorphism groups of algebraic systems
##### Keywords:
finite group; genus; closed orientable surface
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##### References:
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