5 citations · 5 across the 5 of their papers we have counts for
5 papers
The Bloch-Kato Conjecture and Galois Theory
Dikran Karagueuzian, John Labute, Jan Minac
We investigate the relations in Galois groups of maximal p-extensions of fields, the structure of their natural filtrations, and their relationship with the Bloch-Kato conjecture p…
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 Galois groups determined by Witt rings
Alejandro Adem, Dikran Karagueuzian, Jan Minac
Let F denote a field of characteristic different from two. In this paper we describe the mod 2 cohomology of a Galois group which is determined by the Witt ring WF.
The cohomology of the Lyons group and double covers of alternating groups
Alejandro Adem, Dikran Karagueuzian, R. James Milgram +1
We compute the mod 2 cohomology of the sporadic simple group Ly as well as that of the double covers of the alternating groups A_8 and A_10.