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...
Sparad:
| Huvudupphovsman: | |
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| Materialtyp: | Livre numérique |
| Språk: | Anglais |
| Publicerad: |
London :
Springer London
[20..].
Cham : Springer Nature |
| Upplaga: | 1st ed. 2009. |
| Serie: | Universitext
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| Länkar: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Anmärkning: |
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 |
| Sammanfattning: | 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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| Beskrivning: | Description d'après consultation du 23 mars 2012 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Bibliografi: | Bibliogr. Index |
| ISBN: | 9781848828896 |
| ISSN: | 2191-6675 |
| Tillgång: | Accès en ligne pour les établissements français bénéficiaires des licences nationales Accès soumis à abonnement pour tout autre établissement Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 |