Open AccessSecond cohomology and nilpotency class 2
Author(s) -
Siniša Crvenković,
Vladimir Tasić
Publication year - 2007
Publication title -
publications de l'institut mathématique
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.246
H-Index - 17
eISSN - 1820-7405
pISSN - 0350-1302
DOI - 10.2298/pim0795003c
Subject(s) - nilpotent group , mathematics , class (philosophy) , nilpotent , variety (cybernetics) , betti number , pure mathematics , cohomology , projective variety , group (periodic table) , projective test , group cohomology , algebra over a field , computer science , artificial intelligence , physics , statistics , quantum mechanics
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.