On the Cohomology of Central Frattini Extensions
Algebraic Topology
2007-05-23 v1 Group Theory
Abstract
We use topological methods to compute the mod p cohomology of certain p-groups. More precisely we look at central Frattini extensions of elementary abelian by elementary abelian groups such that their defining k-invariants span the entire image of the Bockstein. We show that if p is sufficiently large, then the mod p cohomology of the extension can be explicitly computed as an algebra.
Keywords
Cite
@article{arxiv.math/0008229,
title = {On the Cohomology of Central Frattini Extensions},
author = {Alejandro Adem and Jonathan Pakianathan},
journal= {arXiv preprint arXiv:math/0008229},
year = {2007}
}