On Galois cohomology and realizability of 2-groups as Galois groups

• Autorzy: Ivo Michailov
• Języki publikacji: EN

Abstrakty

EN

In this paper we develop some new theoretical criteria for the realizability of p-groups as Galois groups over arbitrary fields. We provide necessary and sufficient conditions for the realizability of 14 of the 22 non-abelian 2-groups having a cyclic subgroup of index 4 that are not direct products of groups.

Słowa kluczowe

EN

Embedding problem; Galois extension; Quaternion algebra; Obstruction; Corestriction

Kategorie tematyczne

• 12F12: Inverse Galois theory

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2011
• Tom: 9
• Numer: 2
• Strony: 403-419

Daty

wydano

2011-04-01

online

2011-02-18

Twórcy

autor

Ivo Michailov

• Constantin Preslavski University

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-011-0004-4