02715nam 2200529 450 991082431760332120230809234421.03-11-047892-73-11-048021-210.1515/9783110480214(CKB)4340000000203642(MiAaPQ)EBC5049538(DE-B1597)466716(OCoLC)1004882917(DE-B1597)9783110480214(Au-PeEL)EBL5049538(CaPaEBR)ebr11443183(CaONFJC)MIL1036863(OCoLC)1004543980(EXLCZ)99434000000020364220171016h20172017 uy 0engurcnu||||||||rdacontentrdamediardacarrierComplementation of normal subgroups in finite groupsBerlin, [Germany] ;Munich, [Germany] ;Boston, [Massachusetts] :De Gruyter,2017.©20171 online resource (144 pages) illustrations, tables3-11-047879-X Includes bibliographical references and indexes.Frontmatter -- Preface -- Contents -- Notation -- 1. Prerequisites -- 2. The Schur-Zassenhaus theorem: A bit of history and motivation -- 3. Abelian and minimal normal subgroups -- 4. Reduction theorems -- 5. Subgroups in the chief series, derived series, and lower nilpotent series -- 6. Normal subgroups with abelian sylow subgroups -- 7. The formation generation -- 8. Groups with specific classes of subgroups complemented -- Bibliography -- Author index -- Subject indexStarting 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 Finite groupsSylow subgroupsFinite groups.Sylow subgroups.512/.23Kirtland Joseph(Mathematics professor),1628835MiAaPQMiAaPQMiAaPQBOOK9910824317603321Complementation of normal subgroups3966203UNINA