Authors

C. Ryan Vinroot

Document Type

Article

Publication Date

9-2-1998

First Advisor

S. Allen Broughton

Abstract

All symmetry groups for surfaces of genus 2 and 3 are known. In this paper, we classify symmetry groups and tiling groups with three branch points for surfaces of genus 4 and 5. Also, a class of symmetry groups that are not tiling groups is presented, as well as a class of odd order non-abelian tiling groups.

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