The Resource Inverse Galois Theory, by Gunter Malle, B. Heinrich Matzat, (electronic resource)
Inverse Galois Theory, by Gunter Malle, B. Heinrich Matzat, (electronic resource)
Resource Information
The item Inverse Galois Theory, by Gunter Malle, B. Heinrich Matzat, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.This item is available to borrow from 1 library branch.
Resource Information
The item Inverse Galois Theory, by Gunter Malle, B. Heinrich Matzat, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.
This item is available to borrow from 1 library branch.
 Summary
 This second edition addresses the question of which finite groups occur as Galois groups over a given field. In particular, this includes the question of the structure and the representations of the absolute Galois group of K, as well as its finite epimorphic images, generally referred to as the inverse problem of Galois theory. In the past few years, important strides have been made in all of these areas. The aim of the book is to provide a systematic and extensive overview of these advances, with special emphasis on the rigidity method and its applications. Among others, the book presents the most successful known existence theorems and construction methods for Galois extensions and solutions of embedding problems, together with a collection of the current Galois realizations. There have been two major developments since the first edition of this book was released. The first is the algebraization of the Katz algorithm for (linearly) rigid generating systems of finite groups; the second is the emergence of a modular Galois theory. The latter has led to new construction methods for additive polynomials with given Galois group over fields of positive characteristic. Both methods have their origin in the Galois theory of differential and difference equations.
 Language
 eng
 Edition
 2nd ed. 2018.
 Extent
 1 online resource (XVII, 533 pages)
 Contents

 I.The Rigidity Method
 II. Applications of Rigidity
 III. Action of Braids
 IV. Embedding Problems
 V. Additive Polynomials
 VI.Rigid Analytic Methods
 Appendix: Example Polynomials
 References
 Index
 Isbn
 9783662554203
 Label
 Inverse Galois Theory
 Title
 Inverse Galois Theory
 Statement of responsibility
 by Gunter Malle, B. Heinrich Matzat
 Language
 eng
 Summary
 This second edition addresses the question of which finite groups occur as Galois groups over a given field. In particular, this includes the question of the structure and the representations of the absolute Galois group of K, as well as its finite epimorphic images, generally referred to as the inverse problem of Galois theory. In the past few years, important strides have been made in all of these areas. The aim of the book is to provide a systematic and extensive overview of these advances, with special emphasis on the rigidity method and its applications. Among others, the book presents the most successful known existence theorems and construction methods for Galois extensions and solutions of embedding problems, together with a collection of the current Galois realizations. There have been two major developments since the first edition of this book was released. The first is the algebraization of the Katz algorithm for (linearly) rigid generating systems of finite groups; the second is the emergence of a modular Galois theory. The latter has led to new construction methods for additive polynomials with given Galois group over fields of positive characteristic. Both methods have their origin in the Galois theory of differential and difference equations.
 Assigning source
 Provided by publisher
 http://library.link/vocab/creatorName
 Malle, Gunter
 Image bit depth
 0
 Literary form
 non fiction
 Nature of contents
 dictionaries
 http://library.link/vocab/relatedWorkOrContributorName
 Matzat, B. Heinrich.
 Series statement

 Springer eBooks.
 Springer eBooks
 Springer Monographs in Mathematics,
 http://library.link/vocab/subjectName

 Group theory
 Mathematics
 Topology
 Label
 Inverse Galois Theory, by Gunter Malle, B. Heinrich Matzat, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 I.The Rigidity Method  II. Applications of Rigidity  III. Action of Braids  IV. Embedding Problems  V. Additive Polynomials  VI.Rigid Analytic Methods  Appendix: Example Polynomials  References  Index
 Control code
 9783662554203
 Dimensions
 unknown
 Edition
 2nd ed. 2018.
 Extent
 1 online resource (XVII, 533 pages)
 File format
 multiple file formats
 Form of item

 online
 electronic
 Governing access note
 Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, noncommercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
 Isbn
 9783662554203
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (OCoLC)1046977800
 Label
 Inverse Galois Theory, by Gunter Malle, B. Heinrich Matzat, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 I.The Rigidity Method  II. Applications of Rigidity  III. Action of Braids  IV. Embedding Problems  V. Additive Polynomials  VI.Rigid Analytic Methods  Appendix: Example Polynomials  References  Index
 Control code
 9783662554203
 Dimensions
 unknown
 Edition
 2nd ed. 2018.
 Extent
 1 online resource (XVII, 533 pages)
 File format
 multiple file formats
 Form of item

 online
 electronic
 Governing access note
 Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, noncommercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
 Isbn
 9783662554203
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (OCoLC)1046977800
Library Links
Embed
Settings
Select options that apply then copy and paste the RDF/HTML data fragment to include in your application
Embed this data in a secure (HTTPS) page:
Layout options:
Include data citation:
<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.eui.eu/portal/InverseGaloisTheorybyGunterMalleB./85LPjGlC2Pk/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.eui.eu/portal/InverseGaloisTheorybyGunterMalleB./85LPjGlC2Pk/">Inverse Galois Theory, by Gunter Malle, B. Heinrich Matzat, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.eui.eu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.eui.eu/">European University Institute</a></span></span></span></span></div>
Note: Adjust the width and height settings defined in the RDF/HTML code fragment to best match your requirements
Preview
Cite Data  Experimental
Data Citation of the Item Inverse Galois Theory, by Gunter Malle, B. Heinrich Matzat, (electronic resource)
Copy and paste the following RDF/HTML data fragment to cite this resource
<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.eui.eu/portal/InverseGaloisTheorybyGunterMalleB./85LPjGlC2Pk/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.eui.eu/portal/InverseGaloisTheorybyGunterMalleB./85LPjGlC2Pk/">Inverse Galois Theory, by Gunter Malle, B. Heinrich Matzat, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.eui.eu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.eui.eu/">European University Institute</a></span></span></span></span></div>