Profinite Groups: 40 (Ergebnisse der Mathematik und ihrer by Luis Ribes,Pavel Zalesskii PDF

By Luis Ribes,Pavel Zalesskii

The goal of this booklet is to serve either as an creation to profinite teams and as a reference for experts in a few components of the speculation. The ebook is fairly self-contained. Profinite teams are Galois teams. As such they're of curiosity in algebraic quantity conception. a lot of modern examine on summary limitless teams is expounded to profinite teams simply because residually finite teams are obviously embedded in a profinite team. as well as uncomplicated evidence approximately common profinite teams, the booklet emphasizes unfastened structures (particularly unfastened profinite teams and the constitution in their subgroups). Homology and cohomology is defined with not less than prerequisites.

This moment variation includes 3 new appendices facing a brand new characterization of loose profinite teams, shows of pro-p teams and a brand new conceptually less complicated method of the evidence of a few classical subgroup theorems. in the course of the textual content there are additions within the type of new effects, stronger proofs, typographical corrections, and an enlarged bibliography. The checklist of open questions has been up-to-date; reviews and references were additional approximately these formerly open difficulties which have been solved after the 1st variation appeared.

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Profinite Groups: 40 (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics) by Luis Ribes,Pavel Zalesskii

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