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Periodic Complexes and Group Actions
Alejandro Adem, Jeff H. Smith
In this paper we show that the cohomology of a connected CW complex is periodic if and only if it is the base space of an orientable spherical fibration with total space that is ho…
Field theory and the Cohomology of Some Galois Groups
Alejandro Adem, Wenfeng Gao, Dikran Karagueuzian +1
We prove that two arithmetically significant extensions of a field F coincide if and only if the Witt ring WF is a group ring Z/n[G]. Furthermore, working modulo squares with Galoi…
The Cohomology of the Sylow 2-subgroup of the Higman-Sims Group
Alejandro Adem, Jon F. Carlson, Dikran Karagueuzian +1
In this paper we compute the mod 2 cohomology of the Sylow 2-subgroup of the Higman-Sims group HS, one of the 26 sporadic simple groups. We obtain its Poincare series as well as an…
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…