Affiliation:
1. Department of Mathematics, Brigham Young University, Provo, UT 84602, USA
Abstract
A strong Gelfand pair is a pair [Formula: see text], of finite groups such that the Schur ring determined by the [Formula: see text]-classes [Formula: see text], is a commutative ring. We find all strong Gelfand pairs [Formula: see text]. We also define an extra strong Gelfand pair [Formula: see text], this being a strong Gelfand pair of maximal dimension, and show that in this case [Formula: see text] must be abelian.
Publisher
World Scientific Pub Co Pte Lt
Subject
Applied Mathematics,Algebra and Number Theory
Cited by
4 articles.
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1. Matrix Spherical Functions on Finite Groups;Journal of Fourier Analysis and Applications;2024-09-05
2. Strong Gelfand pairs of SL(2,
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n
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3. Strong Gelfand pairs of SL(2,p);Journal of Algebra and Its Applications;2022-04-12
4. Strong Gelfand subgroups of F ≀ Sn;International Journal of Mathematics;2021-01-22