Profinite Groups

Luis Ribes, Pavel Zalesskii (Autoren)

Buch | Hardcover

XIV, 435 Seiten

2000
Springer Berlin (Verlag)
978-3-540-66986-9 (ISBN)

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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.

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.- Appendix.- Bibliography.

Reihe/Serie	Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge ; 40
Verlagsort	Berlin
Sprache	englisch
Maße	155 x 235 mm
Gewicht	1780 g
Einbandart	gebunden
Themenwelt	Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie
Schlagworte	12G05 • 20E05 • 20E06 • 20E18 • 20J05 • cohomology • Galois group • Profinite group
ISBN-10	3-540-66986-8 / 3540669868
ISBN-13	978-3-540-66986-9 / 9783540669869
Zustand	Neuware