We classify the homogeneous finite-dimensional permutation structures, i.e. homogeneous structures in a language of finitely many linear orders, giving a nearly complete answer to a question of Cameron, and confirming the classification conjectured by the first author. The primitive case was proven by the second author using model-theoretic methods, and those methods continue to appear here.
@article{10_37236_8321,
author = {Samuel Braunfeld and Pierre Simon},
title = {The classification of homogeneous finite-dimensional permutation structures},
journal = {The electronic journal of combinatorics},
year = {2020},
volume = {27},
number = {1},
doi = {10.37236/8321},
zbl = {1539.03114},
url = {http://geodesic.mathdoc.fr/articles/10.37236/8321/}
}
TY - JOUR
AU - Samuel Braunfeld
AU - Pierre Simon
TI - The classification of homogeneous finite-dimensional permutation structures
JO - The electronic journal of combinatorics
PY - 2020
VL - 27
IS - 1
UR - http://geodesic.mathdoc.fr/articles/10.37236/8321/
DO - 10.37236/8321
ID - 10_37236_8321
ER -
%0 Journal Article
%A Samuel Braunfeld
%A Pierre Simon
%T The classification of homogeneous finite-dimensional permutation structures
%J The electronic journal of combinatorics
%D 2020
%V 27
%N 1
%U http://geodesic.mathdoc.fr/articles/10.37236/8321/
%R 10.37236/8321
%F 10_37236_8321
Samuel Braunfeld; Pierre Simon. The classification of homogeneous finite-dimensional permutation structures. The electronic journal of combinatorics, Tome 27 (2020) no. 1. doi: 10.37236/8321
