EVERY (k + 1)-AFFINE COMPLETE NILPOTENT GROUP OF CLASS k IS AFFINE COMPLETE-Reference-Cited by-同舟云学术

EVERY (k + 1)-AFFINE COMPLETE NILPOTENT GROUP OF CLASS k IS AFFINE COMPLETE

Published:2006-04 Issue:02 Volume:16 Page:259-274
ISSN:0218-1967
Container-title:International Journal of Algebra and Computation
language:en
Short-container-title:Int. J. Algebra Comput.

Author:

AICHINGER ERHARD¹,ECKER JÜRGEN¹²

Affiliation:

1. Institut für Algebra, Johannes Kepler Universität Linz, 4040 Linz, Austria

2. Computer- und Mediensicherheit, FH OÖ Campus Hagenberg, 4232 Hagenberg, Austria

Abstract

We let G be a group, and we let k be a natural number. We assume that G is nilpotent of class at most k, and that every (k + 1)-ary congruence preserving function on G is a polynomial function. We show that then every congruence preserving function on G (of any finite arity) is a polynomial function.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218196706002858

Reference7 articles.

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