Bounding the order of abelian \(p\)-subgroups of rank \(k\) of symmetric groups of degree \(n\)

DOI10.1007/s13366-015-0250-xzbMath1396.20002OpenAlexW571920333MaRDI QIDQ304569

Ingo U. K. W. Uffelmann, Wolfgang D. Knapp

Publication date: 25 August 2016

Published in: Beiträge zur Algebra und Geometrie (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13366-015-0250-x

zbMATH Keywords

symmetric grouprankmaximal orderabelian \(p\)-subgroup

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Finite abelian groups (20K01) Finite nilpotent groups, (p)-groups (20D15) Subgroups of symmetric groups (20B35) Characterization theorems for permutation groups (20B10)

Cites Work

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• Finite permutation groups with large Abelian quotients
• Competitors of the Kendall-tau test for testing independence against positive quadrant dependence
• Maximal order Abelian Subgroups of Symmetric Groups
• On minimal faithful permutation representations of finite groups
• On Abelian Permutation Groups
• Maximal Abelian Subgroups of the Symmetric Groups
• Minimal Permutation Representations of Finite Groups

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