03436nam 22005895 450 991025431080332120200630040927.03-319-66213-910.1007/978-3-319-66213-8(CKB)4340000000223377(DE-He213)978-3-319-66213-8(MiAaPQ)EBC5151573(PPN)221254773(EXLCZ)99434000000022337720171119d2017 u| 0engurnn|008mamaatxtrdacontentcrdamediacrrdacarrierThe Theory of Nilpotent Groups /by Anthony E. Clement, Stephen Majewicz, Marcos Zyman1st ed. 2017.Cham :Springer International Publishing :Imprint: Birkhäuser,2017.1 online resource (XVII, 307 p.) 3-319-66211-2 Includes bibliographical references and index.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.Group theoryAssociative ringsRings (Algebra)Topological groupsLie groupsGroup Theory and Generalizationshttps://scigraph.springernature.com/ontologies/product-market-codes/M11078Associative Rings and Algebrashttps://scigraph.springernature.com/ontologies/product-market-codes/M11027Topological Groups, Lie Groupshttps://scigraph.springernature.com/ontologies/product-market-codes/M11132Group theory.Associative rings.Rings (Algebra).Topological groups.Lie groups.Group Theory and Generalizations.Associative Rings and Algebras.Topological Groups, Lie Groups.512.2Clement Anthony Eauthttp://id.loc.gov/vocabulary/relators/aut767499Majewicz Stephenauthttp://id.loc.gov/vocabulary/relators/autZyman Marcosauthttp://id.loc.gov/vocabulary/relators/autBOOK9910254310803321The Theory of Nilpotent Groups2235928UNINA