02868nam 22005655 450 991033825380332120200706003550.03-030-18156-110.1007/978-3-030-18156-7(CKB)4100000008280491(MiAaPQ)EBC5780328(DE-He213)978-3-030-18156-7(PPN)236523546(EXLCZ)99410000000828049120190525d2019 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierEndotrivial Modules /by Nadia Mazza1st ed. 2019.Cham :Springer International Publishing :Imprint: Springer,2019.1 online resource (129 pages)SpringerBriefs in Mathematics,2191-81983-030-18155-3 1 Introduction -- 2 Endotrivial modules -- 3 Classifying endotrivial modules -- 4 The torsionfree part of the group of endotrivial modules -- 5 Torsion endotrivial modules -- 6 Endotrivial modules for Very Important Groups.This is an in-depth report on the endotrivial modules, an important class of modular representations for finite groups. Following the historical development of the theory, the book starts with a review of the necessary definitions and some key examples. The main results obtained using traditional techniques are then presented, followed by more recent results such as the work of Grodal inspired by algebraic topology. In the last part of the book original methods are applied to obtain the group of endotrivial modules for certain very important groups. An accessible reference collecting half a century of research on endotrivial modules, this book will be of interest to researchers in algebra.SpringerBriefs in Mathematics,2191-8198Group theoryCategory theory (Mathematics)Homological algebraK-theoryGroup Theory and Generalizationshttps://scigraph.springernature.com/ontologies/product-market-codes/M11078Category Theory, Homological Algebrahttps://scigraph.springernature.com/ontologies/product-market-codes/M11035K-Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/M11086Group theory.Category theory (Mathematics).Homological algebra.K-theory.Group Theory and Generalizations.Category Theory, Homological Algebra.K-Theory.512.55512.2Mazza Nadiaauthttp://id.loc.gov/vocabulary/relators/aut781319BOOK9910338253803321Endotrivial Modules1732449UNINA