Genus spectra for split metacyclic groups

A. Weaver

doi:10.1017/S0017089501020067

Abstract

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An integer n\geq2 is said to be a genus of a finite group G if there is a compact Riemann surface of genus n on which G acts as a group of automorphisms. In this paper, formulae are given for the minimum genus, minimum stable genus and the gap sequence, i.e., the (finite) set of non-genera, for a split metacyclic group of order pq, where p and q are primes. This information completely determines the genus spectrum for such groups.

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This article has been cited by the following publications. This list is generated based on data provided by Crossref.

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Genus spectra for split metacyclic groups

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