Finite groups acting on almost all surfaces: Kulkarni revisited

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Thomas Tucker

Abstract

Kulkarni showed that a group G acts preserving orientation on the surfaceof genus g, for all but nitely many g, if and only if it is almost Sylow-cyclic with its Sylow 2-subgroup cyclic, dihedral, generalized quaternion, orgeneralized dicyclic. We generalize this result to non-orientable surfaces andorientation-reversing actions.

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Tucker, T. (2019). Finite groups acting on almost all surfaces: Kulkarni revisited. Acta Mathematica Universitatis Comenianae, , 1-12. Retrieved from http://www.iam.fmph.uniba.sk/amuc/ojs/index.php/amuc/article/view/1023/656
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