02947cam a2200493Mu 4500 9781351168724 FlBoTFG 20260210180841.0 m d cr cnu---unuuu 190907s2019 xx o 000 0 eng d OCoLC-P eng OCoLC-P 9781351168717 1351168711 9781351168724 (electronic bk.) 135116872X (electronic bk.) 9781351168700 (electronic bk. : EPUB) 1351168703 (electronic bk. : EPUB) 9781351168694 (electronic bk. : Mobipocket) 135116869X (electronic bk. : Mobipocket) 0815347847 9780815347842 (OCoLC)1117645644 (OCoLC)1117463674 (OCoLC)1118543747 (OCoLC-P)1117645644 QA252.3 MAT 000000 bisacsh PBF bicssc 512.55 23 Extending Structures [electronic resource] : Fundamentals and Applications. Milton : CRC Press LLC, 2019. 1 online resource (243 p.). Chapman and Hall/CRC Monographs and Research Notes in Mathematics Ser. Description based upon print version of record. Extending 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 OCLC-licensed vendor bibliographic record. Lie algebras. Associative algebras. Lie groups. MATHEMATICS / General bisacsh Agore, Ana. Militaru, Gigel, 1966- Taylor & Francis https://www.taylorfrancis.com/books/9781351168724 OCLC metadata license agreement http://www.oclc.org/content/dam/oclc/forms/terms/vbrl-201703.pdf 92679 92678