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
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U2 - 10.4153/S0008439520000259
DO - 10.4153/S0008439520000259
M3 - Article
AN - SCOPUS:85104027191
SN - 0008-4395
VL - 64
SP - 91
EP - 97
JO - Canadian Mathematical Bulletin
JF - Canadian Mathematical Bulletin
IS - 1
ER -