We give a bijection between the symmetric group $S_n$, and the set of standard Young tableaux of rectangular shape $m^n$, $m \geq n$, that have order $n$ under jeu de taquin promotion.
@article{10_37236_5885,
author = {Kevin Purbhoo and Donguk Rhee},
title = {Minimal orbits of promotion},
journal = {The electronic journal of combinatorics},
year = {2017},
volume = {24},
number = {1},
doi = {10.37236/5885},
zbl = {1358.05307},
url = {http://geodesic.mathdoc.fr/articles/10.37236/5885/}
}
TY - JOUR
AU - Kevin Purbhoo
AU - Donguk Rhee
TI - Minimal orbits of promotion
JO - The electronic journal of combinatorics
PY - 2017
VL - 24
IS - 1
UR - http://geodesic.mathdoc.fr/articles/10.37236/5885/
DO - 10.37236/5885
ID - 10_37236_5885
ER -
%0 Journal Article
%A Kevin Purbhoo
%A Donguk Rhee
%T Minimal orbits of promotion
%J The electronic journal of combinatorics
%D 2017
%V 24
%N 1
%U http://geodesic.mathdoc.fr/articles/10.37236/5885/
%R 10.37236/5885
%F 10_37236_5885
Kevin Purbhoo; Donguk Rhee. Minimal orbits of promotion. The electronic journal of combinatorics, Tome 24 (2017) no. 1. doi: 10.37236/5885