Geodesic
Algebraic degrees of 2-Cayley digraphs over abelian groups
Ars Mathematica Contemporanea, Tome 24 (2024) no. 2, article no. 02, 20 p.

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

A digraph Γ is called a 2-Cayley digraph over a group G if there exists a 2-orbit semiregular subgroup of Aut(Γ) isomorphic to G.In this paper, we completely determine the algebraic degrees of 2-Cayley digraphs over abelian groups. This generalizes the main results of Lu and Mönius in 2023. As applications, we consider the algebraic degrees of Cayley digraphs over finite groups admitting an abelian subgroup of index 2. Special attention is paid to the algebraic degrees of Cayley (di)graphs over generalized dihedral groups, generalized dicyclic groups and semi-dihedral groups.
DOI : 10.26493/1855-3974.2896.7e6
Keywords: Algebraic degree, 2-Cayley digraph, Abelian group 
@article{10_26493_1855_3974_2896_7e6,
     author = {Yongjiang Wu and Jing Yang and Lihua Feng},
     title = {Algebraic degrees of {2-Cayley} digraphs over abelian groups},
     journal = {Ars Mathematica Contemporanea},
     eid = {02},
     publisher = {mathdoc},
     volume = {24},
     number = {2},
     year = {2024},
     doi = {10.26493/1855-3974.2896.7e6},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.2896.7e6/}
}
TY  - JOUR
AU  - Yongjiang Wu
AU  - Jing Yang
AU  - Lihua Feng
TI  - Algebraic degrees of 2-Cayley digraphs over abelian groups
JO  - Ars Mathematica Contemporanea
PY  - 2024
VL  - 24
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.2896.7e6/
DO  - 10.26493/1855-3974.2896.7e6
LA  - en
ID  - 10_26493_1855_3974_2896_7e6
ER  - 
%0 Journal Article
%A Yongjiang Wu
%A Jing Yang
%A Lihua Feng
%T Algebraic degrees of 2-Cayley digraphs over abelian groups
%J Ars Mathematica Contemporanea
%D 2024
%V 24
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.2896.7e6/
%R 10.26493/1855-3974.2896.7e6
%G en
%F 10_26493_1855_3974_2896_7e6
Yongjiang Wu; Jing Yang; Lihua Feng. Algebraic degrees of 2-Cayley digraphs over abelian groups. Ars Mathematica Contemporanea, Tome 24 (2024) no. 2, article  no. 02, 20 p. doi : 10.26493/1855-3974.2896.7e6. http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.2896.7e6/

Cité par Sources :