The Frucht property in the quantum group setting
Glasgow mathematical journal, Tome 64 (2022) no. 3, pp. 603-633

Voir la notice de l'article provenant de la source Cambridge

DOI

A classical theorem of Frucht states that any finite group appears as the automorphism group of a finite graph. In the quantum setting, the problem is to understand the structure of the compact quantum groups which can appear as quantum automorphism groups of finite graphs. We discuss here this question, notably with a number of negative results.
DOI : 10.1017/S0017089521000380
Mots-clés : Quantum permutation, Quantum automorphism
Banica, T.; McCarthy, J.P. The Frucht property in the quantum group setting. Glasgow mathematical journal, Tome 64 (2022) no. 3, pp. 603-633. doi: 10.1017/S0017089521000380
@article{10_1017_S0017089521000380,
     author = {Banica, T. and McCarthy, J.P.},
     title = {The {Frucht} property in the quantum group setting},
     journal = {Glasgow mathematical journal},
     pages = {603--633},
     year = {2022},
     volume = {64},
     number = {3},
     doi = {10.1017/S0017089521000380},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089521000380/}
}
TY  - JOUR
AU  - Banica, T.
AU  - McCarthy, J.P.
TI  - The Frucht property in the quantum group setting
JO  - Glasgow mathematical journal
PY  - 2022
SP  - 603
EP  - 633
VL  - 64
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.1017/S0017089521000380/
DO  - 10.1017/S0017089521000380
ID  - 10_1017_S0017089521000380
ER  - 
%0 Journal Article
%A Banica, T.
%A McCarthy, J.P.
%T The Frucht property in the quantum group setting
%J Glasgow mathematical journal
%D 2022
%P 603-633
%V 64
%N 3
%U http://geodesic.mathdoc.fr/articles/10.1017/S0017089521000380/
%R 10.1017/S0017089521000380
%F 10_1017_S0017089521000380

Cité par Sources :