A nilpotent IP polynomial multiple recurrence theorem |
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| Authors: | Pavel Zorin-Kranich |
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| Institution: | 1. Korteweg-de Vries Institute for Mathematics, University of Amsterdam, P.O. BOX 94248, 1090 GE, Amsterdam, The Netherlands
2. Mathematisches Institut, Universit?t Bonn, Endenicherallee 60, D-53115, Bonn, Germany
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| Abstract: | We generalize the IP-polynomial Szemerédi theorem due to Bergelson and McCutcheon and the nilpotent Szemerédi theorem due to Leibman. Important tools in our proof include a generalization of Leibman’s result that polynomial mappings into a nilpotent group form a group and a multiparameter version of the nilpotent Hales-Jewett theorem due to Bergelson and Leibman. |
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