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On the p ′ -Subgraph of the Young Graph

Published version
Peer-reviewed

Repository URI

https://www.repository.cam.ac.uk/handle/1810/278862

Repository DOI

https://doi.org/10.17863/CAM.26238

Files

Published version (594.27 KB)

Type

Article

Change log

Authors

Giannelli, E 
Martin, S 

Abstract

Let p be a prime number. In this article we study the restriction to Sn−1 of irreducible characters of degree coprime to p of Sn. In particular, we study the combinatorial properties of the subgraph Yp′ of the Young graph Y. This is an extension to odd primes of the work done by Ayyer, Prasad and Spallone for p=2.

Description

Keywords

Young graph, Characters of symmetric groups, Abacus combinatorics

Journal Title

Algebras and Representation Theory

Conference Name

Journal ISSN

1386-923X
1572-9079

Volume Title

22

Publisher

Springer Science and Business Media LLC

Publisher DOI

https://doi.org/10.1007/s10468-018-9791-7

Rights

Attribution 4.0 International Repository logo
Sponsorship
EPSRC (1648600)

Collections

Scholarly Works - Pure Mathematics and Mathematical Statistics