Integer Sequences Realized by the Subgroup Pattern of the Symmetric Group

2012/11/08 by Liam Naughton, Naughton, Liam, Goetz Pfeiffer +1
Mathematics · #20B40 #20D30 #FOS: Mathematics #Group Theory (math.GR) #math.GR #msc:20B40 #msc:20D30

paper · pdf · doi:10.48550/arxiv.1211.1911

22 pages, revisions made to Section 4 and the Appendix

arxiv created 2013/06/13 · arxiv updated 2013/06/14

Abstract

The subgroup pattern of a finite group 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 describe a collection of sequences realized by the subgroup pattern of the symmetric group.

Related

• Computing the Table of Marks of a Cyclic Extension
• Sequences of symmetry groups of infinite words
• Integer Representations of the Generalized Symmetric Groups
• Sign conjugacy classes in symmetric groups
• Groups with at most twelve subgroups