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Complementation of Normal Subgroups

In Finite Groups

Joseph Kirtland (Autor)

Buch | Hardcover

XII, 144 Seiten

2017
De Gruyter (Verlag)
978-3-11-047879-2 (ISBN)

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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

Joseph Kirtland, Marist College, NY, USA.

"This book includes many interesting historical remarks and discusses the topic of complementation from many different perspectives, which makes it a valuable reference point on the subject."
Rebecca A. H. Waldecker in: Mathematical Reviews Clippings (10.2018), MR3727140

Erscheinungsdatum	15.09.2017
Verlagsort	Berlin/Boston
Sprache	englisch
Maße	170 x 240 mm
Gewicht	443 g
Themenwelt	Mathematik / Informatik ► Mathematik
Schlagworte	Algebra and Number Theory • Asia • Discrete Mathematics • finite groups • Grenzen • group theory • Mathematics • Mathematik • Möglichkeiten • Normale Gruppe • Sylow subgroups • Untergruppe • Währungsunion • Wirtschafts-
ISBN-10	3-11-047879-X / 311047879X
ISBN-13	978-3-11-047879-2 / 9783110478792
Zustand	Neuware