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Profinite Graphs and Groups

Af: Luis Ribes Engelsk Paperback

Profinite Graphs and Groups

Af: Luis Ribes Engelsk Paperback
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This book offers a detailed introduction to graph theoretic methods in profinite groups and applications to abstract groups. It is the first to provide a comprehensive treatment of the subject. The author begins by carefully developing relevant notions in topology, profinite groups and homology, including free products of profinite groups, cohomological methods in profinite groups, and fixed points of automorphisms of free pro-p groups. The final part of the book is dedicated to applications of the profinite theory to abstract groups, with sections on finitely generated subgroups of free groups, separability conditions in free and amalgamated products, and algorithms in free groups and finite monoids. Profinite Graphs and Groups will appeal to students and researchers interested in profinite groups, geometric group theory, graphs and connections with the theory of formal languages. A complete reference on the subject, the book includes historical and bibliographical notes as well as a discussion of open questions and suggestions for further reading.
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This book offers a detailed introduction to graph theoretic methods in profinite groups and applications to abstract groups. It is the first to provide a comprehensive treatment of the subject. The author begins by carefully developing relevant notions in topology, profinite groups and homology, including free products of profinite groups, cohomological methods in profinite groups, and fixed points of automorphisms of free pro-p groups. The final part of the book is dedicated to applications of the profinite theory to abstract groups, with sections on finitely generated subgroups of free groups, separability conditions in free and amalgamated products, and algorithms in free groups and finite monoids. Profinite Graphs and Groups will appeal to students and researchers interested in profinite groups, geometric group theory, graphs and connections with the theory of formal languages. A complete reference on the subject, the book includes historical and bibliographical notes as well as a discussion of open questions and suggestions for further reading.
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Se mere i:
Produktdetaljer
Sprog: Engelsk
Sider: 471
ISBN-13: 9783030104245
Indbinding: Paperback
Udgave:
ISBN-10: 3030104249
Kategori: Grupper og gruppeteori
Udg. Dato: 9 dec 2018
Længde: 0mm
Bredde: 155mm
Højde: 235mm
Forlag: Springer Nature Switzerland AG
Oplagsdato: 9 dec 2018
Forfatter(e): Luis Ribes
Forfatter(e) Luis Ribes

Kategori Grupper og gruppeteori

ISBN-13 9783030104245

Sprog Engelsk

Indbinding Paperback

Sider 471

Udgave

Længde 0mm

Bredde 155mm

Højde 235mm

Udg. Dato 9 dec 2018

Oplagsdato 9 dec 2018

Forlag Springer Nature Switzerland AG