EMIS ELibM Electronic Journals Publications de l'Institut Mathématique, Nouvelle Série
Vol. 81(95), pp. 3–10 (2007)

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Second cohomology and nilpotency class 2

Sinisa Crvenkovic, Vladimir Tasic

Prirodno-matematicki fakultet, 21000 Novi Sad, Serbia and Department of Mathematics and Statistics, University of New Brunswick, Fredericton, NB, Canada E3B 5A3

Abstract: Conditions are given for a class 2 nilpotent group to have no central extensions of class 3. This is related to Betti numbers and to the problem of representing a class 2 nilpotent group as the fundamental group of a smooth projective variety.

Keywords: nilpotent groups; Lie algebras; cohomology; projective varieties

Classification (MSC2000): 20J06; 57T10; 20F18; 57M05

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Electronic fulltext finalized on: 20 Feb 2008. This page was last modified: 26 Feb 2008.

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