Integer Sequences Realized by the Subgroup Pattern of the Symmetric Group

zbMATH Open1288.20002arXiv1211.1911MaRDI QIDQ5404322

Götz Pfeiffer, L. Naughton

Publication date: 24 March 2014

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.

Full work available at URL: https://arxiv.org/abs/1211.1911

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zbMATH Keywords

algorithmssymmetric groupsconjugacy classes of subgroupsalternating groupstables of markssubgroup patterns

Mathematics Subject Classification ID

Series and lattices of subgroups (20D30) Frobenius induction, Burnside and representation rings (19A22) Subgroups of symmetric groups (20B35)

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