Blocks of finite groups and their invariants / Benjamin Sambale

• Autore: Sambale, Benjamin
• Pubblicazione: Cham [Switzerland] : Springer, 2014
• Descrizione fisica: xiii, 243 p. ; 24 cm
• Disciplina: 512.2
• Soggetto topico: Group theory
• Classificazione: AMS 20C20; AMS 20C15; AMS 20C40; LC QA174-183
• Nota di contenuto: Zusammenfassung ; Introduction ; Fundamentals ; General results and methods ; Applications ; Bibliopraphy ; Index ; List of tables
• Sommario/riassunto: Providing a nearly complete selection of up-to-date methods and results on block invariants with respect to their defect groups, this book covers the classical theory pioneered by Brauer, the modern theory of fusion systems introduced by Puig, the geometry of numbers developed by Minkowski, the classification of finite simple groups, and various computer assisted methods. In a powerful combination, these tools are applied to solve many special cases of famous open conjectures in the representation theory of finite groups. Most of the material is drawn from peer-reviewed journal articles, but there are also new previously unpublished results. In order to make the text self-contained, detailed proofs are given whenever possible. Several tables add to the text's usefulness as a reference. The book is aimed at experts in group theory or representation theory who may wish to make use of the presented ideas in their research
• ISBN: 9783319120058
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 991002954379707536
• Lo trovi qui: Univ. del Salento
• Serie: Lecture notes in mathematics, 0075-8434 ; 2127