Genus Spectra for Split Metacyclic Groups
نویسنده
چکیده
An integer n ! 2 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. 1991 Mathematics Subject Classification. Primary: 14J50; Secondary: 20B25.
منابع مشابه
Character Tables of Metacyclic Groups
We show that two metacyclic groups of the following types are isomorphic if they have the same character tables: (i) split metacyclic groups, (ii) the metacyclic p-groups and (iii) the metacyclic {p, q}-groups, where p, q are odd primes. 2010 Mathematics Subject Classification. Primary 20C15; Secondary 20D15, 20F16, 20F22.
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تاریخ انتشار 2015