A chain of normalizers in the Sylow 2-subgroups of the symmetric group on \({\mathbf{2}}^n\) letters

DOI10.1007/s13226-021-00190-wzbMath1496.20003arXiv2008.13423OpenAlexW3209072862MaRDI QIDQ2065338

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

Publication date: 7 January 2022

Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.13423

zbMATH Keywords

Sylow 2-subgroupsnormalizerselementary abelian regular subgroupssymmetric group on \(2^n\) elements

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Cryptography (94A60) Symmetric groups (20B30) Subgroups of symmetric groups (20B35)

Related Items (1)

Unrefinable partitions into distinct parts in a normalizer chain

Uses Software

• GAP
• OEIS
• PRESENT

Cites Work

• A sequence defined by \(M\)-sequences
• Differential cryptanalysis of DES-like cryptosystems
• Differential attacks: using alternative operations
• Regular subgroups with large intersection
• On properties of translation groups in the affine general linear group with applications to cryptography
• A note on the monotonicity of mixed Ramsey numbers
• The Sylow 2-subgroups of the finite classical groups
• PRESENT: An Ultra-Lightweight Block Cipher
• REGULAR SUBGROUPS OF THE AFFINE GROUP AND RADICAL CIRCLE ALGEBRAS
• Maximal Abelian Subgroups of the Symmetric Groups
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