02947cam a2200493Mu 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.0m        d        cr cnu---unuuu190907s2019    xx      o     000 0 eng d  aOCoLC-PbengcOCoLC-P  a9781351168717  a1351168711  a9781351168724q(electronic bk.)  a135116872Xq(electronic bk.)  a9781351168700q(electronic bk. : EPUB)  a1351168703q(electronic bk. : EPUB)  a9781351168694q(electronic bk. : Mobipocket)  a135116869Xq(electronic bk. : Mobipocket)  z0815347847  z9780815347842  a(OCoLC)1117645644z(OCoLC)1117463674z(OCoLC)1118543747  a(OCoLC-P)1117645644 4aQA252.3 7aMATx0000002bisacsh 7aPBF2bicssc04a512.5522300aExtending Structuresh[electronic resource] :bFundamentals and Applications.  aMilton :bCRC Press LLC,c2019.  a1 online resource (243 p.).1 aChapman and Hall/CRC Monographs and Research Notes in Mathematics Ser.  aDescription based upon print version of record.  aExtending Structures: Fundamentals and Applications treats the extending structures (ES) problem in the context of groups, Lie/Leibniz algebras, associative algebras and Poisson/Jacobi algebras. This concisely written monograph offers the reader an incursion into the extending structures problem which provides a common ground for studying both the extension problem and the factorization problem. Features Provides a unified approach to the extension problem and the factorization problem Introduces the classifying complements problem as a sort of converse of the factorization problem; and in the case of groups it leads to a theoretical formula for computing the number of types of isomorphisms of all groups of finite order that arise from a minimal set of data Describes a way of classifying a certain class of finite Lie/Leibniz/Poisson/Jacobi/associative algebras etc. using flag structures Introduces new (non)abelian cohomological objects for all of the aforementioned categories As an application to the approach used for dealing with the classification part of the ES problem, the Galois groups associated with extensions of Lie algebras and associative algebras are described  aOCLC-licensed vendor bibliographic record. 0aLie algebras. 0aAssociative algebras. 0aLie groups. 7aMATHEMATICS / General2bisacsh1 aAgore, Ana.1 aMilitaru, Gigel,d1966-403Taylor & Francisuhttps://www.taylorfrancis.com/books/9781351168724423OCLC metadata license agreementuhttp://www.oclc.org/content/dam/oclc/forms/terms/vbrl-201703.pdf  c92679d92678