TY  - BOOK
AU  - Clement,Anthony E.
AU  - Majewicz,Stephen
AU  - Zyman,Marcos
ED  - SpringerLink (Online service)
TI  - The Theory of Nilpotent Groups
SN  - 9783319662138
AV  - QA174-183 
U1  - 512.2 23
PY  - 2017///
CY  - Cham
PB  - Springer International Publishing, Imprint: Birkhäuser
KW  - Group theory
KW  - Associative rings
KW  - Rings (Algebra)
KW  - Topological groups
KW  - Lie groups
KW  - Group Theory and Generalizations
KW  - Associative Rings and Algebras
KW  - Topological Groups, Lie Groups
N1  - 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; Available to subscribing member institutions only. Доступно лише організаціям членам підписки
N2  - 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
UR  - https://doi.org/10.1007/978-3-319-66213-8
ER  -