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 University Press

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
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