Second cohomology and nilpotency class 2 | Zendy

Siniša Crvenković | Zendy; Vladimir Tasić | Zendy

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Second cohomology and nilpotency class 2

Author(s) -

Siniša Crvenković,

Vladimir Tasić

Publication year - 2007

Publication title -

publications de l institut mathematique

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.

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