2 papers
math.AT2000
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…
math.AT2000
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…