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010   $a3-319-66213-9
024 7 $a10.1007/978-3-319-66213-8
035   $a(CKB)4340000000223377
035   $a(DE-He213)978-3-319-66213-8
035   $a(MiAaPQ)EBC5151573
035   $a(PPN)221254773
035   $a(EXLCZ)994340000000223377
100   $a20171119d2017      u|         0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 14$aThe Theory of Nilpotent Groups /$fby Anthony E. Clement, Stephen Majewicz, Marcos Zyman
205   $a1st ed. 2017.
210  1$aCham :$cSpringer International Publishing :$cImprint: Birkhäuser,$d2017.
215   $a1 online resource (XVII, 307 p.) 
311   $a3-319-66211-2 
320   $aIncludes bibliographical references and index.
327   $aCommutator 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.
330   $aThis 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.
606   $aGroup theory
606   $aAssociative rings
606   $aRings (Algebra)
606   $aTopological groups
606   $aLie groups
606   $aGroup Theory and Generalizations$3https://scigraph.springernature.com/ontologies/product-market-codes/M11078
606   $aAssociative Rings and Algebras$3https://scigraph.springernature.com/ontologies/product-market-codes/M11027
606   $aTopological Groups, Lie Groups$3https://scigraph.springernature.com/ontologies/product-market-codes/M11132
615  0$aGroup theory.
615  0$aAssociative rings.
615  0$aRings (Algebra).
615  0$aTopological groups.
615  0$aLie groups.
615 14$aGroup Theory and Generalizations.
615 24$aAssociative Rings and Algebras.
615 24$aTopological Groups, Lie Groups.
676   $a512.2
700   $aClement$b Anthony E$4aut$4http://id.loc.gov/vocabulary/relators/aut$0767499
702   $aMajewicz$b Stephen$4aut$4http://id.loc.gov/vocabulary/relators/aut
702   $aZyman$b Marcos$4aut$4http://id.loc.gov/vocabulary/relators/aut
906   $aBOOK
912   $a9910254310803321
996   $aThe Theory of Nilpotent Groups$92235928
997   $aUNINA