Computing the Table of Marks of a Cyclic Extension

Details Computing the Table of Marks of a Cyclic Extension Computing the Table of Marks of a Cyclic Extension

2011-05-20

arxiv.org/abs/1105.4064v1

Mathematics

Group Theory

20 pages

Scientific paper

The subgroup pattern of a finite groups $G$ 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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