The Resource Groups : An Introduction to Ideas and Methods of the Theory of Groups, by Antonio Machì, (electronic resource)

Groups : An Introduction to Ideas and Methods of the Theory of Groups, by Antonio Machì, (electronic resource)

Label
Groups : An Introduction to Ideas and Methods of the Theory of Groups
Title
Groups
Title remainder
An Introduction to Ideas and Methods of the Theory of Groups
Statement of responsibility
by Antonio Machì
Creator
Author
Author
Subject
Language
  • eng
  • eng
Summary
Groups are a means of classification, via the group action on a set, but also the object of a classification. How many groups of a given type are there, and how can they be described? Hölder’s program for attacking this problem in the case of finite groups is a sort of leitmotiv throughout the text. Infinite groups are also considered, with particular attention to logical and decision problems. Abelian, nilpotent and solvable groups are studied both in the finite and infinite case. Permutation groups and are treated in detail; their relationship with Galois theory is often taken into account. The last two chapters deal with the representation theory of finite group and the cohomology theory of groups; the latter with special emphasis on the extension problem. The sections are followed by exercises; hints to the solution are given, and for most of them a complete solution is provided
Member of
Is Subseries of
http://library.link/vocab/creatorName
Machì, Antonio
Dewey number
512.22
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
mOMfmfag9a4
Language note
English
LC call number
QA150-272
Literary form
non fiction
Nature of contents
dictionaries
Series statement
  • Unitext,
  • La Matematica per il 3+2,
http://library.link/vocab/subjectName
  • Algebra
  • Group theory
  • Algebra
  • Group Theory and Generalizations
  • Commutative Rings and Algebras
Label
Groups : An Introduction to Ideas and Methods of the Theory of Groups, by Antonio Machì, (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
Normal Subgroups, Conjugation and Isomorphism Theorems -- Group Actions and Permutation Groups -- Generators and Relations -- Nilpotent Groups and Solvable Groups -- Representations -- Extensions and Cohomology -- Solution to the exercises
Dimensions
unknown
Edition
1st ed. 2012.
Extent
1 online resource (384 p.)
Form of item
online
Isbn
9788847024212
Media category
computer
Media type code
c
Other control number
10.1007/978-88-470-2421-2
Specific material designation
remote
System control number
  • (CKB)3360000000366210
  • (EBL)973318
  • (OCoLC)801364224
  • (SSID)ssj0000666128
  • (PQKBManifestationID)11404801
  • (PQKBTitleCode)TC0000666128
  • (PQKBWorkID)10647009
  • (PQKB)10425617
  • (DE-He213)978-88-470-2421-2
  • (MiAaPQ)EBC973318
  • (EXLCZ)993360000000366210
Label
Groups : An Introduction to Ideas and Methods of the Theory of Groups, by Antonio Machì, (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
Normal Subgroups, Conjugation and Isomorphism Theorems -- Group Actions and Permutation Groups -- Generators and Relations -- Nilpotent Groups and Solvable Groups -- Representations -- Extensions and Cohomology -- Solution to the exercises
Dimensions
unknown
Edition
1st ed. 2012.
Extent
1 online resource (384 p.)
Form of item
online
Isbn
9788847024212
Media category
computer
Media type code
c
Other control number
10.1007/978-88-470-2421-2
Specific material designation
remote
System control number
  • (CKB)3360000000366210
  • (EBL)973318
  • (OCoLC)801364224
  • (SSID)ssj0000666128
  • (PQKBManifestationID)11404801
  • (PQKBTitleCode)TC0000666128
  • (PQKBWorkID)10647009
  • (PQKB)10425617
  • (DE-He213)978-88-470-2421-2
  • (MiAaPQ)EBC973318
  • (EXLCZ)993360000000366210

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