# Finite generation of congruence preserving functions

@article{Aichinger2015FiniteGO,
title={Finite generation of congruence preserving functions},
author={Erhard Aichinger and Marijana Lazic and Nebojsa Mudrinski},
journal={Monatshefte f{\"u}r Mathematik},
year={2015},
volume={181},
pages={35-62}
}
• Published 29 March 2015
• Mathematics
• Monatshefte für Mathematik
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.
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