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The permutation enumeration of wreath products \(C_{k}\wr S_{n}\) of cyclic and symmetric groups

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Publication:1398307
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DOI10.1016/S0196-8858(02)00539-0zbMath1018.05103MaRDI QIDQ1398307

Jennifer D. Wagner

Publication date: 29 July 2003

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


zbMATH Keywords

wreath productssymmetric functionspermutation statistics


Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Symmetric functions and generalizations (05E05)


Related Items (4)

Consecutive up-down patterns in up-down permutations ⋮ Generalized pattern-matching conditions for \(C_k \wr S_n\) ⋮ Enumeration of \(m\)-tuples of permutations and a new class of power bases for the space of symmetric functions ⋮ Labeled partitions with colored permutations



Cites Work

  • Unnamed Item
  • Brick tabloids and the connection matrices between bases of symmetric functions
  • Permutation enumeration symmetric functions, and unimodality
  • Cycle type and descent set in wreath products
  • Permutation enumeration of the symmetric group and the combinatorics of symmetric functions
  • Sequences and inversions
  • A combinatorial interpretation of the inverse kostka matrix




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