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28 March 2024
 
  » arxiv » math.GR/0309388

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The strong symmetric genus of the hyperoctahedral groups
Michael A. Jackson ;
Date 23 Sep 2003
Journal J. Group Theory 7 (2004) 495-505
Subject Group Theory; Geometric Topology MSC-class: 20H10, 57M60 | math.GR math.GT
AbstractThe 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.
Source arXiv, math.GR/0309388
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