We investigate when the clone of congruence preserving functions is finitely generated. We obtain a full description for all finite $p$-groups, and for all finite algebras with Mal'cev term and simple congruence lattice. The characterization for $p$-groups allows a generalization to a large class of expansions of groups.
- Pub Date:
- March 2015
- Mathematics - Rings and Algebras;
- 08A40 (08A30)
- accepted for publication in "Monatshefte f\"ur Mathematik". The final publication is available at Springer via http://dx.doi.org/10.1007/s00605-015-0833-5