The Theory of Nilpotent Groups

Anthony E. Clement, Stephen Majewicz, Marcos Zyman (Autoren)

Buch | Hardcover

XVII, 307 Seiten

2017 | 1st ed. 2017
Springer International Publishing (Verlag)
978-3-319-66211-4 (ISBN)

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This monograph presents both classical and recent results in the theory of nilpotent groups and provides a self-contained, comprehensive reference on the topic. While the theorems and proofs included can be found throughout the existing literature, this is the first book to collect them in a single volume. Details omitted from the original sources, along with additional computations and explanations, have been added to foster a stronger understanding of the theory of nilpotent groups and the techniques commonly used to study them. Topics discussed include collection processes, normal forms and embeddings, isolators, extraction of roots, P-localization, dimension subgroups and Lie algebras, decision problems, and nilpotent groups of automorphisms. Requiring only a strong undergraduate or beginning graduate background in algebra, graduate students and researchers in mathematics will find The Theory of Nilpotent Groups to be a valuable resource.

Commutator Calculus.- Introduction to Nilpotent Groups.- The Collection Process and Basic Commutators.- Normal Forms and Embeddings.- Isolators, Extraction of Roots, and P -Localization.- "The Group Ring of a Class of Infinite Nilpotent Groups" by S. A. Jennings.- Additional Topics.

Erscheinungsdatum	08.12.2017
Zusatzinfo	XVII, 307 p.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	613 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Algebra
Schlagworte	abstract algebra • Algebra • Associative rings and algebras • Commutator Calculus • Groups & group theory • Groups & group theory • group theory • Group Theory and Generalizations • Lie algebra • Mathematics • mathematics and statistics • Nilpotent Groups • Topological Groups, Lie Groups
ISBN-10	3-319-66211-2 / 3319662112
ISBN-13	978-3-319-66211-4 / 9783319662114
Zustand	Neuware