Hostname: page-component-586b7cd67f-g8jcs Total loading time: 0 Render date: 2024-11-23T05:29:25.205Z Has data issue: false hasContentIssue false
  • English
  • Français

The symmetric genus of 2-groups

Published online by Cambridge University Press:  01 March 1999

JAY ZIMMERMAN
JAY ZIMMERMAN
Affiliation:
Department of Mathematics, Towson University, 8000 York Road, Towson, Maryland 21252, USA; e-mail: [email protected]
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

A finite group G can be represented as a group of automorphisms of a compact Riemann surface, that is, G acts on a Riemann surface. The symmetric genus σ(G) is the minimum genus of any Riemann surface on which G acts (possibly reversing orientation).

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 41 , Issue 1 , March 1999 , pp. 115 - 124
Copyright
1999 Glasgow Mathematical Journal Trust