Abstract
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 ∈ 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.
| Original language | English |
|---|---|
| Pages (from-to) | 347-357 |
| Number of pages | 11 |
| Journal | CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES |
| Volume | 49 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - Sept 2006 |