Unrefinable partitions into distinct parts in a normalizer chain

DOI10.47443/dml.2021.0109OpenAlexW3180786838MaRDI QIDQ5051421

Roberto Civino, Norberto Gavioli, Carlo Maria Scoppola, Riccardo Aragona

Publication date: 23 November 2022

Published in: Discrete Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.04666

zbMATH Keywords

partitions into distinct partsminimal excludantSylow \(2\)-subgroupssymmetric group on \(2^n\) elementsunrefinable partitions

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Elementary theory of partitions (11P81) Symmetric groups (20B30) Subgroups of symmetric groups (20B35)

Related Items (2)

Verification and generation of unrefinable partitions ⋮ On the maximal part in unrefinable partitions of triangular numbers

Uses Software

• OEIS

Cites Work

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• Partitions and the minimal excludant
• Regular subgroups with large intersection
• A chain of normalizers in the Sylow 2-subgroups of the symmetric group on \({\mathbf{2}}^n\) letters
• The minimal excludant and colored partitions
• On properties of translation groups in the affine general linear group with applications to cryptography
• Rigid commutators and a normalizer chain
• On the equivalence of three independently developed phase-locked loops

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