The center of the wreath product of symmetric group algebras

O. Tout*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

We consider the wreath product of two symmetric groups as a group of blocks permutations and we study its conjugacy classes. We give a polynomiality property for the structure coefficients of the center of the wreath product of symmetric group algebras. This allows us to recover an old result of Farahat and Higman about the polynomiality of the structure coefficients of the center of the symmetric group algebra and to generalize our recent result about the polynomiality property of the structure coefficients of the center of the hyperoctahedral group algebra.

Original languageEnglish
Pages (from-to)302-322
Number of pages21
JournalAlgebra and Discrete Mathematics
Volume31
Issue number2
DOIs
Publication statusPublished - 2021
Externally publishedYes

Keywords

  • Centers of finite groups algebras
  • Structure coefficients
  • Symmetric groups
  • Wreath products

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Discrete Mathematics and Combinatorics

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