A formula for the second cohomology of two-step nilpotent groups
Group Theory
2014-05-16 v1 Algebraic Geometry
Abstract
In [5], the notion of polynomial cocycles is used to give an expression for the second cohomology of T-groups with coefficients in a torsion-free nilpotent module. We make this expression concrete in the case of a T-group G of nilpotency class <=2 and coefficients in a trivial G-module, using a Lie algebra associated to the group. This approach allows us to construct explicit cocycles representing the elements of the second cohomology group.
Keywords
Cite
@article{arxiv.1405.3870,
title = {A formula for the second cohomology of two-step nilpotent groups},
author = {Karel Dekimpe and Manfred Hartl and Sarah Wauters},
journal= {arXiv preprint arXiv:1405.3870},
year = {2014}
}