A course on finite groups

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...

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Xehetasun bibliografikoak
Egile nagusia: Rose, Harvey Ernest, 1936-
Formatua: Livre numérique
Hizkuntza:Anglais
Argitaratua: London : Springer London [20..].
Cham : Springer Nature
Edizioa:1st ed. 2009.
Saila:Universitext
Sarrera elektronikoa:Accès sur la plateforme de l'éditeur
Accès sur la plateforme Istex
Accès Université d'Orléans
Accès INSA CVL
Oharra: Description d'après consultation du 23 mars 2012
Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• A course on finite groups, H. E. Rose, London, Springer, 2009, 1 vol. (XII- 311 p.), Universitext, 978-1-84882-888-9
• A Course on Finite Groups, Texte imprimé, 9781848828926
• A course on finite groups, H. E. Rose, London, Springer, 2009, 1 vol. (XII- 311 p.), Universitext, 978-1-84882-888-9
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245 1 0 |a A course on finite groups   |c by H.E. Rose. 
250 |a 1st ed. 2009. 
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500 |a Archives Springer e-books (Licence nationale) 
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505 1 |a 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. 
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506 |a Accès soumis à abonnement pour tout autre établissement 
506 |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 
520 |a 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. 
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776 0 |t A Course on Finite Groups  |b Texte imprimé  |z 9781848828926 
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