Computing the Table of Marks of a Cyclic Extension

Autor:	Naughton, Liam, Pfeiffer, Goetz
Rok vydání:	2011
Předmět:	Mathematics - Group Theory Primary 20B40 Secondary 19A22 20D30 20D08 20D10
Druh dokumentu:	Working Paper
Popis:	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 $G$. Comment: 20 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1105.4064 Zobrazit plný text záznamu View this record from Arxiv