Geodesic
Affine Completeness of Generalised Dihedral Groups
Canadian mathematical bulletin, Tome 49 (2006) no. 3, pp. 347-357

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

DOI

In this paper we study affine completeness of generalised dihedral groups. We give a formula for the number of unary compatible functions on these groups, and we characterise for every $k\in \mathbb{N}$ the $k$ -affine complete generalised dihedral groups. We find that the direct product of a 1-affine complete group with itself need not be 1-affine complete. Finally, we give an example of a nonabelian solvable affine complete group. For nilpotent groups we find a strong necessary condition for 2-affine completeness.
DOI : 10.4153/CMB-2006-035-8
Mots-clés : 08A40, 16Y30, 20F05 
Ecker, Jürgen. Affine Completeness of Generalised Dihedral Groups. Canadian mathematical bulletin, Tome 49 (2006) no. 3, pp. 347-357. doi: 10.4153/CMB-2006-035-8
@article{10_4153_CMB_2006_035_8,
     author = {Ecker, J\"urgen},
     title = {Affine {Completeness} of {Generalised} {Dihedral} {Groups}},
     journal = {Canadian mathematical bulletin},
     pages = {347--357},
     year = {2006},
     volume = {49},
     number = {3},
     doi = {10.4153/CMB-2006-035-8},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2006-035-8/}
}
TY  - JOUR
AU  - Ecker, Jürgen
TI  - Affine Completeness of Generalised Dihedral Groups
JO  - Canadian mathematical bulletin
PY  - 2006
SP  - 347
EP  - 357
VL  - 49
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2006-035-8/
DO  - 10.4153/CMB-2006-035-8
ID  - 10_4153_CMB_2006_035_8
ER  - 
%0 Journal Article
%A Ecker, Jürgen
%T Affine Completeness of Generalised Dihedral Groups
%J Canadian mathematical bulletin
%D 2006
%P 347-357
%V 49
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-2006-035-8/
%R 10.4153/CMB-2006-035-8
%F 10_4153_CMB_2006_035_8

Cité par Sources :