Publication

Computing the table of marks of a cyclic extension

Naughton, L.
Pfeiffer, G.
Repository DOI
Publication Date
2012-01-01
Keywords
Type
Article
Downloads
Citation
Naughton, L. Pfeiffer, G. (2012). Computing the table of marks of a cyclic extension. Mathematics of Computation 81 (280), 2419-2438
Abstract
The subgroup pattern of a finite group C is the table of marks of G together with a list of representatives of the conjugacy classes of subgroups of G. In this article we present an algorithm for the computation of the subgroup pattern of a cyclic extension of G from the subgroup pattern of G. Repeated application of this algorithm yields an algorithm for the computation of the table of marks of a solvable group G, along a composition series of G.
Funder
Publisher
American Mathematical Society (AMS)
Publisher DOI
10.1090/s0025-5718-2012-02600-7
Rights
Attribution-NonCommercial-NoDerivs 3.0 Ireland