Profinite Groups

AvLuis Ribes,Pavel Zalesskii

Inbunden, Engelska, 2010

Del i serien Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics

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Beskrivning

Much of recent research on abstract infinite groups is related to profinite groups because residually finite groups are naturally embedded in a profinite group.

Produktinformation

Utgivningsdatum:2010-02-28
Mått:155 x 235 x 33 mm
Vikt:884 g
Format:Inbunden
Språk:Engelska
Serie:Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics
Antal sidor:483
Upplaga:2
Förlag:Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
ISBN:9783642016417

Utforska kategorier

Talteori inom Naturvetenskap och teknik
Topologi inom Naturvetenskap och teknik
Grupper och gruppteori inom Naturvetenskap och teknik

Recensioner i media

From the reviews of the second edition: "In this book, Ribes and Zalesskii survey the general theory of profinite groups ... . They cover all the important examples and do a particularly fine job of explaining the representation theory and the cohomology theory of profinite groups. ... Each chapter concludes with an extensive section of notes, including recent developments and open questions. ... It will be extremely useful to researchers in field and even more so to those who (like me) use profinite groups in their own work." (Fernando Q. Gouvea, The Mathematical Association of America, August, 2010) "This valuable book works well both as an introduction to the subject of profinite groups, and as a reference for some specific areas. This second edition presents an updated and enlarged bibliography. More open questions have been added, and solutions are provided for the problems from the previous edition that have been settled since."--- (A. Caranti, Zentralblatt MATH, Vol. 1197, 2010)

Innehållsförteckning

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.