Strong Gelfand Pairs of SL(2,p)
Group Theory
2021-08-24 v1 Representation Theory
Abstract
A strong Gelfand pair (G,H) is a group G together with a subgroup H such that every irreducible character of H induces a multiplicity-free character of G. We classify the strong Gelfand pairs of the special linear groups SL(2, p) where p is a prime.
Keywords
Cite
@article{arxiv.2108.10281,
title = {Strong Gelfand Pairs of SL(2,p)},
author = {Andrea Barton and Stephen P. Humphries},
journal= {arXiv preprint arXiv:2108.10281},
year = {2021}
}
Comments
Preprint of an article submitted for consideration in Journal of Algebra and Its Applications \c{opyright} 2021 [copyright World Scientific Publishing Company] https://www.worldscientific.com/worldscinet/jaa