The Resource A Course on Finite Groups, by H.E. Rose, (electronic resource)

A Course on Finite Groups, by H.E. Rose, (electronic resource)

Label
A Course on Finite Groups
Title
A Course on Finite Groups
Statement of responsibility
by H.E. Rose
Creator
Author
Author
Subject
Language
  • eng
  • eng
Summary
A Course on Finite Groups introduces the fundamentals of group theory to advanced undergraduate and beginning graduate students. Based on a series of lecture courses developed by the author over many years, the book starts with the basic definitions and examples and develops the theory to the point where a number of classic theorems can be proved. The topics covered include: group constructions; homomorphisms and isomorphisms; actions; Sylow theory; products and Abelian groups; series; nilpotent and soluble groups; and an introduction to the classification of the finite simple groups. A number of groups are described in detail and the reader is encouraged to work with one of the many computer algebra packages available to construct and experience "actual" groups for themselves in order to develop a deeper understanding of the theory and the significance of the theorems. Numerous problems, of varying levels of difficulty, help to test understanding. A brief resumé of the basic set theory and number theory required for the text is provided in an appendix, and a wealth of extra resources is available online at www.springer.com, including: hints and/or full solutions to all of the exercises; extension material for many of the chapters, covering more challenging topics and results for further study; and two additional chapters providing an introduction to group representation theory
Member of
Is Subseries of
http://library.link/vocab/creatorName
Rose, H.E
Dewey number
512.23
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
3X8KLAwhF6Y
Language note
English
LC call number
QA150-272
Literary form
non fiction
Nature of contents
dictionaries
Series statement
Universitext,
http://library.link/vocab/subjectName
  • Algebra
  • Science
  • Group theory
  • Algebra
  • Science Education
  • Group Theory and Generalizations
Label
A Course on Finite Groups, by H.E. Rose, (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
Introduction—The Group Concept -- Elementary Group Properties -- Group Construction and Representation -- Homomorphisms -- Action and the Orbit–Stabiliser Theorem -- -Groups and Sylow Theory -- Products and Abelian Groups -- Groups of Order 24 Three Examples -- Series, Jordan–Hölder Theorem and the Extension Problem -- Nilpotency -- Solubility -- Simple Groups of Order Less than 10000 -- Appendices A to E
Dimensions
unknown
Edition
1st ed. 2009.
Extent
1 online resource (313 p.)
Form of item
online
Isbn
9781280384257
Media category
computer
Media type code
  • c
Other control number
10.1007/978-1-84882-889-6
Specific material designation
remote
System control number
  • (CKB)2670000000007001
  • (EBL)3064983
  • (SSID)ssj0000372632
  • (PQKBManifestationID)11292408
  • (PQKBTitleCode)TC0000372632
  • (PQKBWorkID)10421204
  • (PQKB)10084149
  • (DE-He213)978-1-84882-889-6
  • (MiAaPQ)EBC3064983
  • (EXLCZ)992670000000007001
Label
A Course on Finite Groups, by H.E. Rose, (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
Introduction—The Group Concept -- Elementary Group Properties -- Group Construction and Representation -- Homomorphisms -- Action and the Orbit–Stabiliser Theorem -- -Groups and Sylow Theory -- Products and Abelian Groups -- Groups of Order 24 Three Examples -- Series, Jordan–Hölder Theorem and the Extension Problem -- Nilpotency -- Solubility -- Simple Groups of Order Less than 10000 -- Appendices A to E
Dimensions
unknown
Edition
1st ed. 2009.
Extent
1 online resource (313 p.)
Form of item
online
Isbn
9781280384257
Media category
computer
Media type code
  • c
Other control number
10.1007/978-1-84882-889-6
Specific material designation
remote
System control number
  • (CKB)2670000000007001
  • (EBL)3064983
  • (SSID)ssj0000372632
  • (PQKBManifestationID)11292408
  • (PQKBTitleCode)TC0000372632
  • (PQKBWorkID)10421204
  • (PQKB)10084149
  • (DE-He213)978-1-84882-889-6
  • (MiAaPQ)EBC3064983
  • (EXLCZ)992670000000007001

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