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Profinite Groups

Author: Luis Ribes; Pavel Zalesskii
Publisher: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2010.
Series: Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, 40.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
The aim of this book is to serve both as an introduction to profinite groups and as a reference for specialists in some areas of the theory. The book is reasonably self-contained. Profinite groups are Galois groups. As such they are of interest in algebraic number theory. Much of recent research on abstract infinite groups is related to profinite groups because residually finite groups are naturally embedded in a  Read more...
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Genre/Form: Electronic books
Additional Physical Format: (OCoLC)751579313
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Luis Ribes; Pavel Zalesskii
ISBN: 9783642016424 3642016421 9783642016431 364201643X 9783662040973 3662040972
OCLC Number: 771434362
Description: 1 online resource.
Contents: Inverse and Direct Limits --
Profinite Groups --
Free Profinite Groups --
Some Special Profinite Groups --
Discrete and Profinite Modules --
Homology and Cohomology of Profinite Groups --
Cohomological Dimension --
Normal Subgroups of Free Pro-C Groups --
Free Constructions --
Open Questions --
Appendices (A-D) --
Bibliography --
Indices.
Series Title: Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, 40.
Responsibility: by Luis Ribes, Pavel Zalesskii.

Abstract:

This self-contained book serves both as an introduction to profinite groups and as a reference for specialists in some areas of the theory. It contains complete and clear proofs for most results,  Read more...

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