02154nam a2200313 i 4500991002954379707536160726s2015 sz |||| |||||0|eng|d9783319120058b14259825-39ule_instBibl. Dip.le Aggr. Matematica e Fisica - Sez. Matematicaeng512.223AMS 20C20AMS 20C15AMS 20C40LC QA174-183Sambale, Benjamin716390Blocks of finite groups and their invariants /Benjamin SambaleCham [Switzerland] :Springer,2014xiii, 243 p. ;24 cmLecture notes in mathematics,0075-8434 ;2127Zusammenfassung ; Introduction ; Fundamentals ; General results and methods ; Applications ; Bibliopraphy ; Index ; List of tablesProviding 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 Most of the material is drawn from peer-reviewed journal articles, but there are also new previously unpublished results.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 researchGroup theory.b1425982517-11-1626-07-16991002954379707536LE013 20C SAM11 (2014)12013000293615le013pE46.79-l- 01010.i1578752717-11-16Blocks of finite groups and their invariants1388115UNISALENTOle01326-07-16ma -engsz 00