The strong symmetric genus of the hyperoctahedral groups

Details The strong symmetric genus of the hyperoctahedral groups The strong symmetric genus of the hyperoctahedral groups

2003-09-23

arxiv.org/abs/math/0309388v2

J. Group Theory 7 (2004) 495-505

Mathematics

Group Theory

11 pages, 3 figures; fixed typo in Theorem 1

Scientific paper

The strong symmetric genus of a group is the smallest genus of a surface on
which the group acts faithfully as a group of orientation preserving
automorphisms. In this paper we announce and prove the strong symmetric genus
for the hyperoctahedral groups. This parameter is already known for the
alternating and symmetric groups as well as the sporadic finite simple groups.

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