Výsledky vyhledávání - "Karagueuzian, Dikran"

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The Bloch-Kato Conjecture and Galois Theory

Autor: Karagueuzian, Dikran, Labute, John, Minac, Jan

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 proved by Rost and Voevodsky with Weibel's patch. Our main focus is on

Externí odkaz: http://arxiv.org/abs/1012.5631

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Field theory and the Cohomology of Some Galois Groups

Autor: Adem, Alejandro, Gao, Wenfeng, Karagueuzian, Dikran, Minac, Jan

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 Galois groups which are 2-groups, we establish a theorem analogous to Hilbe

Externí odkaz: http://arxiv.org/abs/math/0009011

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The Cohomology of the Sylow 2-subgroup of the Higman-Sims Group

Autor: Adem, Alejandro, Carlson, Jon F., Karagueuzian, Dikran, Milgram, R. James

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 explicit description of it as a ring with 17 generators and 79 relati

Externí odkaz: http://arxiv.org/abs/math/0008230

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On the cohomology of Galois groups determined by Witt rings

Autor: Adem, Alejandro, Karagueuzian, Dikran, Minac, Jan

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.

Externí odkaz: http://arxiv.org/abs/math/9812169

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