On the Cohomology of Central Frattini Extensions

Alejandro Adem; Jonathan Pakianathan

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On the Cohomology of Central Frattini Extensions

Alejandro Adem·Jonathan Pakianathan

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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.

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BibTeX RIS

Alejandro Adem, Jonathan Pakianathan. 2000-08-30. On the Cohomology of Central Frattini Extensions. https://arxiv.org/abs/math/0008229

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