Geodesic
Arc-transitive graphs of valency twice a prime admit a semiregular automorphism
Ars Mathematica Contemporanea, Tome 18 (2020) no. 1, pp. 179-186.

Voir la notice de l'article provenant de la source Ars Mathematica Contemporanea website

We prove that every finite arc-transitive graph of valency twice a prime admits a nontrivial semiregular automorphism, that is, a non-identity automorphism whose cycles all have the same length. This is a special case of the Polycirculant Conjecture, which states that all finite vertex-transitive digraphs admit such automorphisms.
DOI : 10.26493/1855-3974.1894.37c
Keywords: Arc-transitive graphs, polycirculant conjecture, semiregular automorphism 
@article{10_26493_1855_3974_1894_37c,
     author = {Michael Giudici and Gabriel Verret},
     title = {Arc-transitive graphs of valency twice a prime admit a semiregular automorphism},
     journal = {Ars Mathematica Contemporanea},
     pages = {179--186},
     publisher = {mathdoc},
     volume = {18},
     number = {1},
     year = {2020},
     doi = {10.26493/1855-3974.1894.37c},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.1894.37c/}
}
TY  - JOUR
AU  - Michael Giudici
AU  - Gabriel Verret
TI  - Arc-transitive graphs of valency twice a prime admit a semiregular automorphism
JO  - Ars Mathematica Contemporanea
PY  - 2020
SP  - 179
EP  - 186
VL  - 18
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.1894.37c/
DO  - 10.26493/1855-3974.1894.37c
LA  - en
ID  - 10_26493_1855_3974_1894_37c
ER  - 
%0 Journal Article
%A Michael Giudici
%A Gabriel Verret
%T Arc-transitive graphs of valency twice a prime admit a semiregular automorphism
%J Ars Mathematica Contemporanea
%D 2020
%P 179-186
%V 18
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.1894.37c/
%R 10.26493/1855-3974.1894.37c
%G en
%F 10_26493_1855_3974_1894_37c
Michael Giudici; Gabriel Verret. Arc-transitive graphs of valency twice a prime admit a semiregular automorphism. Ars Mathematica Contemporanea, Tome 18 (2020) no. 1, pp. 179-186. doi : 10.26493/1855-3974.1894.37c. http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.1894.37c/

Cité par Sources :