4 papers · 1 filter
Quadratic Maps and Bockstein Closed Group Extensions
Jonathan Pakianathan, Ergun Yalcin
We study central extensions E of elementary abelian 2-groups by elementary abelian 2-groups. Associated to such an extension is a quadratic map which determines the extension uniqu…
The stable braid group and the determinant of the Burau representation
F R Cohen, J Pakianathan
This article gives certain fibre bundles associated to the braid groups which are obtained from a translation as well as conjugation on the complex plane. The local coefficient sys…
On the Cohomology of Central Frattini Extensions
Alejandro Adem, Jonathan Pakianathan
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 gr…
Exponents and the cohomology of finite groups
Jonathan Pakianathan
Provides a counterexample to a long standing conjecture of A. Adem regarding the behaviour of the integral cohomology of a p-group.