Combinatorics of the group of parity alternating permutations

DOI10.1016/j.aam.2009.07.002zbMath1218.05007arXiv0812.1839OpenAlexW2085759994MaRDI QIDQ2267536

Shinji Tanimoto

Publication date: 1 March 2010

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0812.1839

zbMATH Keywords

permutationsEulerian numberssigned Eulerian numbersodd permutationsascent numbereven perumtationsparity alternating permutations

Mathematics Subject Classification ID

Permutations, words, matrices (05A05) Symmetric groups (20B30)

Related Items (4)

Parity alternating permutations starting with an odd integer ⋮ Parity permutation pattern matching ⋮ Unnamed Item ⋮ Unnamed Item

Cites Work

• Parity alternating permutations and signed Eulerian numbers
• The signed Eulerian numbers
• An involution for signed Eulerian numbers
• Opérations sur l'homologie cyclique des algèbres commutatives. (Operations on the cyclic homology of commutative algebras)
• A study of Eulerian numbers by means of an operator on permutations
• An operator on permutations and its application to Eulerian numbers

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