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Computing the table of marks of a cyclic extension

Naughton, L.
; 
Pfeiffer, Götz
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http://hdl.handle.net/10379/7012
 https://doi.org/10.13025/15259
Publication Date
2012-02-24
Keywords
subgroups, mathematics
Type
Article
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Naughton, L., & Pfeiffer, Götz. (2012). Computing the table of marks of a cyclic extension. Mathematics Of Computation, 81, 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.
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Publisher
American Mathematical Society
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Attribution-NonCommercial-NoDerivs 3.0 Ireland
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Mathematics (Scholarly Articles)