Finite generation of congruence preserving functions

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 e...

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Bibliographic Details
Published in:Monatshefte für Mathematik 2016-09, Vol.181 (1), p.35-62
Main Authors: Aichinger, Erhard, Lazić, Marijana, Mudrinski, Nebojša
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
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Summary: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.
ISSN:0026-9255
1436-5081
DOI:10.1007/s00605-015-0833-5