LEADER 02324nam a2200361 i 4500 001 991002954339707536 006 m o d 007 cr cn ---mpcbr 008 160726s2015 sz |||| o |||||0|eng|d 020 $a9783319120065 035 $ab14259813-39ule_inst 040 $aBibl. Dip.le Aggr. Matematica e Fisica - Sez. Matematica$beng 082 04$a512.2$223 084 $aAMS 20C20 084 $aAMS 20C15 084 $aAMS 20C40 084 $aLC QA174-183 100 1 $aSambale, Benjamin$0716390 245 10$aBlocks of finite groups and their invariants$h[e-book] /$c Benjamin Sambale 260 $aCham [Switzerland] :$bSpringer,$c2014 300 $a1 online resource (xiii, 243 pages) 440 0$aLecture Notes in Mathematics,$x1617-9692 ;$v2127 505 0 $aZusammenfassung ; Introduction ; Fundamentals ; General results and methods ; Applications ; Bibliopraphy ; Index ; List of tables 520 $aProviding a nearly complete selection of up-to-date methods and results on block invariants with respect to their defect groups, this book covers the classical theory pioneered by Brauer, the modern theory of fusion systems introduced by Puig, the geometry of numbers developed by Minkowski, the classification of finite simple groups, and various computer assisted methods. In a powerful combination, these tools are applied to solve many special cases of famous open conjectures in the representation theory of finite groups. Most of the material is drawn from peer-reviewed journal articles, but there are also new previously unpublished results. In order to make the text self-contained, detailed proofs are given whenever possible. Several tables add to the text's usefulness as a reference. The book is aimed at experts in group theory or representation theory who may wish to make use of the presented ideas in their research 650 0$aGroup theory 773 0 $aSpringer eBooks 776 08$aPrinted edition:$z9783319120058 856 40$uhttp://link.springer.com/book/10.1007/978-3-319-12006-5$zAn electronic book accessible through the World Wide Web 907 $a.b14259813$b03-03-22$c26-07-16 912 $a991002954339707536 996 $aBlocks of finite groups and their invariants$91388115 997 $aUNISALENTO 998 $ale013$b26-07-16$cm$d@ $e-$feng$gsz $h0$i0 LEADER 01120nam a22002651i 4500 001 991003054459707536 005 20040524141604.0 008 040624s1976 it a||||||||||||||||ita 035 $ab13017354-39ule_inst 035 $aARCHE-097503$9ExL 040 $aDip.to Beni Culturali$bita$cA.t.i. Arché s.c.r.l. 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[66]. 300 $a"Prepared under subcontract no. 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