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Groups [Elektronski vir] : an introduction to ideas and methods of the theory of groupsMachì, AntonioGroups 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 providedType of material - e-bookPublication and manufacture - Milan ; New York : Springer, cop. 2012Language - englishISBN - 978-88-470-2421-2; 88-470-2421-8COBISS.SI-ID - 1545002463
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SpringerLink e-books 2008-2012Celotno besedilo dostopno za uporabnike SpringerLink slovenskega konzorcija neprofitnih institucij
Full text accessible to the users of SpringerLink Slovenian Consortium of Non-Profit Institutions
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Author
Machì, Antonio
Collection
Unitext
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Mathematics |
Group theory |
Group theory |
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