6 citations · 15 across the 12 of their papers we have counts for
8 papers · 1 filter
The cohomology of certain groups
Ian J Leary
Computations in the cohomology of finite groups.
The cohomology of Bestvina-Brady groups
Ian J Leary, Muge Saadetoglu
For each subcomplex of the standard CW-structure on any torus, we compute the homology of a certain infinite cyclic regular covering space. In all cases when the homology is finite…
A bound on the exponent of the cohomology of BC-bundles
Ian J Leary
We give a lower bound for the exponent of certain elements in the integral cohomology of the total spaces of principal BC-bundles for C a finite cyclic group. As applications we gi…
3-groups are not determined by their integral cohomology rings
Ian J. Leary
We compute the integral cohomology rings of a family of 3-groups. As a corollary, we exhibit, for each n greater than or equal to 5, a pair of groups of order 3^n whose integral co…
p-Groups are not determined by their integral cohomology groups
Ian J. Leary
For each prime p, we exhibit pairs of p-groups all of whose integral cohomology groups are isomorphic. The method used involves very little calculation. The groups are exhibited as…
A differential in the Lyndon-Hochschild-Serre spectral sequence
Ian J. Leary
We consider the Lyndon-Hochschild-Serre spectral sequence with mod-p coefficients for a central extension with kernel cyclic of order a power of p and arbitrary discrete quotient g…