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Complementation of normal subgroups : in finite groups /

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 norma...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Kirtland, Joseph (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin ; Boston : De Gruyter, [2017]
Temas:
Acceso en línea:Texto completo

MARC

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245 1 0 |a Complementation of normal subgroups :  |b in finite groups /  |c Joseph Kirtland. 
264 1 |a Berlin ;  |a Boston :  |b De Gruyter,  |c [2017] 
264 4 |c ©2017 
300 |a 1 online resource (xii, 144 pages) 
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505 0 0 |t Frontmatter --  |t Preface --  |t Contents --  |t Notation --  |t 1. Prerequisites --  |t 2. The Schur-Zassenhaus theorem: A bit of history and motivation --  |t 3. Abelian and minimal normal subgroups --  |t 4. Reduction theorems --  |t 5. Subgroups in the chief series, derived series, and lower nilpotent series --  |t 6. Normal subgroups with abelian sylow subgroups --  |t 7. The formation generation --  |t 8. Groups with specific classes of subgroups complemented --  |t Bibliography --  |t Author index --  |t Subject index. 
520 |a 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. 
546 |a In English. 
588 0 |a Online resource; title from PDF title page (publisher's Web site, viewed 13. Sep 2017). 
504 |a Includes bibliographical references and indexes. 
590 |a eBooks on EBSCOhost  |b EBSCO eBook Subscription Academic Collection - Worldwide 
650 0 |a Finite groups. 
650 0 |a Sylow subgroups. 
650 6 |a Groupes finis. 
650 6 |a Sous-groupes de Sylow. 
650 7 |a MATHEMATICS  |x Algebra  |x Intermediate.  |2 bisacsh 
650 7 |a Finite groups  |2 fast 
650 7 |a Sylow subgroups  |2 fast 
650 7 |a Endliche Gruppe  |2 gnd 
650 7 |a Untergruppe  |2 gnd 
650 7 |a Komplement  |g Mathematik  |2 gnd 
653 |a (Produktform)Electronic book text 
653 |a (Zielgruppe)Fachpublikum/ Wissenschaft 
653 |a (BISAC Subject Heading)MAT014000 
653 |a (BISAC Subject Heading)MAT008000: MAT008000 MATHEMATICS / Discrete Mathematics 
653 |a Normale Gruppe 
653 |a Untergruppe 
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