On the Cohomology of Central Frattini Extensions

Details On the Cohomology of Central Frattini Extensions On the Cohomology of Central Frattini Extensions

2000-08-30

arxiv.org/abs/math/0008229v1

Mathematics

Algebraic Topology

Scientific paper

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.

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