The Resource Profinite Groups, by Luis Ribes, Pavel Zalesskii, (electronic resource)

Profinite Groups, by Luis Ribes, Pavel Zalesskii, (electronic resource)

Label
Profinite Groups
Title
Profinite Groups
Statement of responsibility
by Luis Ribes, Pavel Zalesskii
Creator
Contributor
Author
Author
Subject
Language
  • eng
  • eng
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 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
Member of
Is Subseries of
http://library.link/vocab/creatorName
Ribes, Luis
Dewey number
512.2
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
  • HI0R-ChSRWQ
  • WwO5dLmkWk8
Language note
English
LC call number
QA174-183
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
Zalesskii, Pavel.
Series statement
Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics,
Series volume
40
http://library.link/vocab/subjectName
  • Group theory
  • Topological Groups
  • Number theory
  • Topology
  • Group Theory and Generalizations
  • Topological Groups, Lie Groups
  • Number Theory
  • Topology
Label
Profinite Groups, by Luis Ribes, Pavel Zalesskii, (electronic resource)
Instantiates
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical referencesand index
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
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?-? Groups -- Free Constructions of Profinite Groups
Dimensions
unknown
Edition
2nd ed.
Extent
1 online resource (469 p.)
Form of item
online
Isbn
9783642016424
Media category
computer
Media type code
  • c
Other control number
10.1007/978-3-642-01642-4
Specific material designation
remote
System control number
  • (CKB)2510000000006565
  • (EBL)993864
  • (OCoLC)809770592
  • (SSID)ssj0000773174
  • (PQKBManifestationID)12317140
  • (PQKBTitleCode)TC0000773174
  • (PQKBWorkID)10830120
  • (PQKB)10705066
  • (SSID)ssj0000441225
  • (PQKBManifestationID)11312644
  • (PQKBTitleCode)TC0000441225
  • (PQKBWorkID)10424837
  • (PQKB)11704651
  • (DE-He213)978-3-642-01642-4
  • (MiAaPQ)EBC993864
  • (EXLCZ)992510000000006565
Label
Profinite Groups, by Luis Ribes, Pavel Zalesskii, (electronic resource)
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical referencesand index
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
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?-? Groups -- Free Constructions of Profinite Groups
Dimensions
unknown
Edition
2nd ed.
Extent
1 online resource (469 p.)
Form of item
online
Isbn
9783642016424
Media category
computer
Media type code
  • c
Other control number
10.1007/978-3-642-01642-4
Specific material designation
remote
System control number
  • (CKB)2510000000006565
  • (EBL)993864
  • (OCoLC)809770592
  • (SSID)ssj0000773174
  • (PQKBManifestationID)12317140
  • (PQKBTitleCode)TC0000773174
  • (PQKBWorkID)10830120
  • (PQKB)10705066
  • (SSID)ssj0000441225
  • (PQKBManifestationID)11312644
  • (PQKBTitleCode)TC0000441225
  • (PQKBWorkID)10424837
  • (PQKB)11704651
  • (DE-He213)978-3-642-01642-4
  • (MiAaPQ)EBC993864
  • (EXLCZ)992510000000006565

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