The Resource Algebraic Patching, by Moshe Jarden, (electronic resource)

Algebraic Patching, by Moshe Jarden, (electronic resource)

Label
Algebraic Patching
Title
Algebraic Patching
Statement of responsibility
by Moshe Jarden
Creator
Author
Author
Subject
Language
  • eng
  • eng
Summary
Assuming only basic algebra and Galois theory, the book develops the method of "algebraic patching" to realize finite groups and, more generally, to solve finite split embedding problems over fields. The method succeeds over rational function fields of one variable over "ample fields". Among others, it leads to the solution of two central results in "Field Arithmetic": (a) The absolute Galois group of a countable Hilbertian pac field is free on countably many generators; (b) The absolute Galois group of a function field of one variable over an algebraically closed field $C$ is free of rank equal to the cardinality of $C$
Member of
Is Subseries of
http://library.link/vocab/creatorName
Jarden, Moshe
Dewey number
512.23
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
0YkmqORBKYc
Language note
English
LC call number
QA150-272
Literary form
non fiction
Nature of contents
dictionaries
Series statement
Springer Monographs in Mathematics,
http://library.link/vocab/subjectName
  • Algebra
  • Field theory (Physics)
  • Group theory
  • Algebra
  • Field Theory and Polynomials
  • Group Theory and Generalizations
Label
Algebraic Patching, by Moshe Jarden, (electronic resource)
Instantiates
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
cr
Content category
text
Content type code
txt
Contents
1. Algebraic Patching -- 2. Normed Rings -- 3. Several Variables -- 4. Constant Split Embedding Problems over Complete Fields -- 5. Ample Fields -- 6. Non-Ample Fields -- 7. Split Embedding Problems over Complete Fields -- 8. Split Embedding Problems over Ample Fields -- 9. The Absolute Galois Group of C(t) -- 10. Semi-Free Profinite Groups -- 11. Function Fields of One Variable over PAC Fields -- 12. Complete Noetherian Domains -- Open Problems -- References -- Glossary of Notation -- Index
Dimensions
unknown
Edition
1st ed. 2011.
Extent
1 online resource (312 p.)
Form of item
online
Isbn
9781283086516
Media category
computer
Media type code
c
Other control number
10.1007/978-3-642-15128-6
Specific material designation
remote
System control number
  • (CKB)2670000000065003
  • (EBL)666983
  • (OCoLC)701369507
  • (SSID)ssj0000475849
  • (PQKBManifestationID)11312363
  • (PQKBTitleCode)TC0000475849
  • (PQKBWorkID)10479221
  • (PQKB)11020145
  • (DE-He213)978-3-642-15128-6
  • (MiAaPQ)EBC666983
  • (EXLCZ)992670000000065003
Label
Algebraic Patching, by Moshe Jarden, (electronic resource)
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
cr
Content category
text
Content type code
txt
Contents
1. Algebraic Patching -- 2. Normed Rings -- 3. Several Variables -- 4. Constant Split Embedding Problems over Complete Fields -- 5. Ample Fields -- 6. Non-Ample Fields -- 7. Split Embedding Problems over Complete Fields -- 8. Split Embedding Problems over Ample Fields -- 9. The Absolute Galois Group of C(t) -- 10. Semi-Free Profinite Groups -- 11. Function Fields of One Variable over PAC Fields -- 12. Complete Noetherian Domains -- Open Problems -- References -- Glossary of Notation -- Index
Dimensions
unknown
Edition
1st ed. 2011.
Extent
1 online resource (312 p.)
Form of item
online
Isbn
9781283086516
Media category
computer
Media type code
c
Other control number
10.1007/978-3-642-15128-6
Specific material designation
remote
System control number
  • (CKB)2670000000065003
  • (EBL)666983
  • (OCoLC)701369507
  • (SSID)ssj0000475849
  • (PQKBManifestationID)11312363
  • (PQKBTitleCode)TC0000475849
  • (PQKBWorkID)10479221
  • (PQKB)11020145
  • (DE-He213)978-3-642-15128-6
  • (MiAaPQ)EBC666983
  • (EXLCZ)992670000000065003

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