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2009 The genus level of a group
Matthew Arbo, Krystin Benkowski, Ben Coate, Hans Nordstrom, Chris Peterson, Aaaron Wootton
Involve 2(3): 323-340 (2009). DOI: 10.2140/involve.2009.2.323

Abstract

We introduce the notion of the genus level of a group as a tool to help classify finite conformal group actions on compact Riemann surfaces. We classify all groups of genus level 1 and use our results to outline an algorithm to classify actions of p-groups on compact Riemann surfaces. To illustrate our results, we provide a number of detailed examples.

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Matthew Arbo. Krystin Benkowski. Ben Coate. Hans Nordstrom. Chris Peterson. Aaaron Wootton. "The genus level of a group." Involve 2 (3) 323 - 340, 2009. https://doi.org/10.2140/involve.2009.2.323

Information

Received: 5 November 2008; Revised: 2 July 2009; Accepted: 6 July 2009; Published: 2009
First available in Project Euclid: 20 December 2017

zbMATH: 1181.14032
MathSciNet: MR2551129
Digital Object Identifier: 10.2140/involve.2009.2.323

Subjects:
Primary: 14H37, 30F20

Rights: Copyright © 2009 Mathematical Sciences Publishers

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