Pavel Zalesskii: Profinite Groups | Buch

Cover: 9783642016417 | Profinite Groups | Pavel Zalesskii (u. a.) | Buch | xiv | Englisch

Rückseite: 9783642016417 | Profinite Groups | Pavel Zalesskii (u. a.) | Buch | xiv | Englisch

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Sprache: Englisch

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Beschreibung

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 profinite group. In addition to basic facts about general profinite groups, the book emphasizes free constructions (particularly free profinite groups and the structure of their subgroups). Homology and cohomology is described with a minimum of prerequisites.
This second edition contains three new appendices dealing with a new characterization of free profinite groups, presentations of pro-p groups and a new conceptually simpler approach to the proof of some classical subgroup theorems. Throughout the text there are additions in the form of new results, improved proofs,typographical corrections, and an enlarged bibliography. The list of open questions has been updated; comments and references have been added about those previously open problems that have been solved after the first edition appeared.

Zusammenfassung

This second edition contains three new appendices

Contains a new conceptually simpler approach to the proof of some classical subgroup theorems

Contains new results, improved proofs, typographical corrections, and an enlarged bibliography

Updated list of open questions

Contains comments and references about those previously open questions that have been solved after the first edition appeared

Includes supplementary material: [...]

Inhaltsverzeichnis

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?-? Groups.- Free Constructions of Profinite Groups.

Details

Erscheinungsjahr:	2010
Fachbereich:	Arithmetik & Algebra
Genre:	Mathematik , Medizin , Naturwissenschaften , Technik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
Inhalt:	xiv 483 S. 120 s/w Illustr. 483 p. 120 illus.
ISBN-13:	9783642016417
ISBN-10:	3642016413
Sprache:	Englisch
Herstellernummer:	12675067
Einband:	Gebunden
Autor:	Zalesskii, Pavel Ribes, Luis
Auflage:	2nd edition 2010
Hersteller:	Springer-Verlag GmbH Springer Berlin Heidelberg
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	241 x 160 x 31 mm
Von/Mit:	Pavel Zalesskii (u. a.)
Erscheinungsdatum:	28.02.2010
Gewicht:	0,881 kg