TY - GEN T1 - Complementation of normal subgroups : in finite groups A1 - Kirtland, Joseph LA - English PP - Berlin ; Boston PB - De Gruyter YR - 2017 UL - https://ebooks.jgu.edu.in/Record/ebsco_acadsubs_on1004882917 AB - Starting with the Schur-Zassenhaus theorem, this monograph documents a wide variety of results concerning complementation of normal subgroups in finite groups. The contents cover a wide range of material from reduction theorems and subgroups in the derived and lower nilpotent series to abelian normal subgroups and formations. ContentsPrerequisitesThe Schur-Zassenhaus theorem: A bit of history and motivationAbelian and minimal normal subgroupsReduction theoremsSubgroups in the chief series, derived series, and lower nilpotent seriesNormal subgroups with abelian sylow subgroupsThe formation generationGroups with specific classes of subgroups complemented. OP - 144 CN - QA177 .K4945 2017eb SN - 9783110480214 SN - 3110480212 SN - 9783110478921 SN - 3110478927 SN - 9783110480221 SN - 3110480220 SN - 311047879X SN - 9783110478792 KW - Finite groups. KW - Sylow subgroups. KW - Groupes finis. KW - Sous-groupes de Sylow. KW - MATHEMATICS : Algebra : Intermediate. KW - Finite groups KW - Sylow subgroups KW - Endliche Gruppe KW - Untergruppe KW - Komplement : Mathematik KW - (Produktform)Electronic book text KW - (Zielgruppe)Fachpublikum/ Wissenschaft KW - (BISAC Subject Heading)MAT014000 KW - (BISAC Subject Heading)MAT008000: MAT008000 MATHEMATICS / Discrete Mathematics KW - Normale Gruppe KW - (VLB-WN)9620 KW - (Produktrabattgruppe)PR: rabattbeschränkt/Bibliothekswerke ER -