paper

The strong symmetric genus of the finite Coxeter groups

arXiv:math/0411448

Abstract

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.

8 pages, 3 tables