The strong symmetric genus of the finite Coxeter groups

Mathematics – Geometric Topology

Scientific paper

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8 pages, 3 tables

Scientific paper

The strong symmetric genus of a finite group G is the smallest genus of a
closed orientable topological surface on which G acts faithfully as a group of
orientation preserving automorphisms. In this paper we complete the calculation
of the strong symmetric genus for each finite Coxeter group excluding the group
E8.

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