---

＜電子ブック＞
The Theory of Nilpotent Groups / by Anthony E. Clement, Stephen Majewicz, Marcos Zyman

版	1st ed. 2017.
出版者	(Cham : Springer International Publishing : Imprint: Birkhäuser)
出版年	2017
大きさ	XVII, 307 p : online resource
著者標目	*Clement, Anthony E author Majewicz, Stephen author Zyman, Marcos author SpringerLink (Online service)
件　名	LCSH:Group theory LCSH:Associative rings LCSH:Associative algebras LCSH:Topological groups LCSH:Lie groups FREE:Group Theory and Generalizations FREE:Associative Rings and Algebras FREE:Topological Groups and Lie Groups
一般注記	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 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 HTTP:URL=https://doi.org/10.1007/978-3-319-66213-8

 類似資料