The First Two Cohomology Groups of Some Galois Groups
نویسندگان
چکیده
We investigate the first two Galois cohomology groups of p-extensions over a base field which does not necessarily contain a primitive pth root of unity. We use twisted coefficients in a systematic way. We describe field extensions which are classified by certain residue classes modulo pnth powers of a related field, and we obtain transparent proofs and slight generalizations of some classical results of Albert. The potential application to the cyclicity question for division algebras of degree p is outlined.
منابع مشابه
A pr 2 00 3 The First Two Cohomology Groups of Some Galois Groups
We investigate the first two Galois cohomology groups of p-extensions over a base field which does not necessarily contain a primitive pth root of unity. We use twisted coefficients in a systematic way. We describe field extensions which are classified by certain residue classes modulo pnth powers of a related field, and we obtain transparent proofs and slight generalizations of some classical ...
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تاریخ انتشار 2002