Quotients of absolute Galois groups which determine the entire Galois cohomology

Sunil K. Chebolu, Ido Efrat, Ján Mináč

Research output: Contribution to journalArticlepeer-review

38 Scopus citations

Abstract

For a prime power q = p d and a field F containing a root of unity of order q we show that the Galois cohomology ring H *(G F,ℤ/q) is determined by a quotient G F [3] of the absolute Galois group G F related to its descending q-central sequence. Conversely, we show that G F [3] is determined by the lower cohomology of G F. This is used to give new examples of pro-p groups which do not occur as absolute Galois groups of fields.

Original languageEnglish
Pages (from-to)205-221
Number of pages17
JournalMathematische Annalen
Volume352
Issue number1
DOIs
StatePublished - 1 Jan 2012

ASJC Scopus subject areas

  • General Mathematics

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