TY - JOUR

T1 - Gelfand Pairs Involving the Wreath Product of Finite Abelian Groups with Symmetric Groups

AU - Tout, Omar

N1 - Publisher Copyright:
© Canadian Mathematical Society 2020.

PY - 2021/3

Y1 - 2021/3

N2 - It is well known that the pair is a Gelfand pair where is the symmetric group on n elements. In this paper, we prove that if G is a finite group then where is the wreath product of G by is a Gelfand pair if and only if G is abelian.

AB - It is well known that the pair is a Gelfand pair where is the symmetric group on n elements. In this paper, we prove that if G is a finite group then where is the wreath product of G by is a Gelfand pair if and only if G is abelian.

KW - Gelfand pairs

KW - representation theory of finite groups

KW - wreath product of finite abelian groups with symmetric groups

UR - http://www.scopus.com/inward/record.url?scp=85104027191&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85104027191&partnerID=8YFLogxK

U2 - 10.4153/S0008439520000259

DO - 10.4153/S0008439520000259

M3 - Article

AN - SCOPUS:85104027191

VL - 64

SP - 91

EP - 97

JO - Canadian Mathematical Bulletin

JF - Canadian Mathematical Bulletin

SN - 0008-4395

IS - 1

ER -