The uniqueness of polynomial crystallographic actions |
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| Authors: | Yves Benoist Karel Dekimpe |
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| Affiliation: | (1) Ecole Normale Supérieure, 45 rue d'Ulm 75230 Paris, France (e-mail: Yves.Benoist@ens.fr) , FR;(2) Katholieke Universiteit Leuven, Campus Kortrijk, B–8500 Kortrijk, Belgium (e-mail: Karel.Dekimpe@kulak.ac.be) , BE |
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| Abstract: | ![]()
Let be a polycyclic-by-finite group. It is proved in [8] that admits a polynomial action of bounded degree on which is properly discontinuous and such that the quotient is compact. We prove here that such an action is unique up to conjugation by a polynomial transformation of . Received: 30 October 2000 / Revised version: 12 July 2001 / Published online: 18 January 2002 |
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