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001 9781351168724
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008 190907s2019 xx o 000 0 eng d
040 _aOCoLC-P
_beng
_cOCoLC-P
020 _a9781351168717
020 _a1351168711
020 _a9781351168724
_q(electronic bk.)
020 _a135116872X
_q(electronic bk.)
020 _a9781351168700
_q(electronic bk. : EPUB)
020 _a1351168703
_q(electronic bk. : EPUB)
020 _a9781351168694
_q(electronic bk. : Mobipocket)
020 _a135116869X
_q(electronic bk. : Mobipocket)
020 _z0815347847
020 _z9780815347842
035 _a(OCoLC)1117645644
_z(OCoLC)1117463674
_z(OCoLC)1118543747
035 _a(OCoLC-P)1117645644
050 4 _aQA252.3
072 7 _aMAT
_x000000
_2bisacsh
072 7 _aPBF
_2bicssc
082 0 4 _a512.55
_223
245 0 0 _aExtending Structures
_h[electronic resource] :
_bFundamentals and Applications.
260 _aMilton :
_bCRC Press LLC,
_c2019.
300 _a1 online resource (243 p.).
490 1 _aChapman and Hall/CRC Monographs and Research Notes in Mathematics Ser.
500 _aDescription based upon print version of record.
520 _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
588 _aOCLC-licensed vendor bibliographic record.
650 0 _aLie algebras.
650 0 _aAssociative algebras.
650 0 _aLie groups.
650 7 _aMATHEMATICS / General
_2bisacsh
700 1 _aAgore, Ana.
700 1 _aMilitaru, Gigel,
_d1966-
856 4 0 _3Taylor & Francis
_uhttps://www.taylorfrancis.com/books/9781351168724
856 4 2 _3OCLC metadata license agreement
_uhttp://www.oclc.org/content/dam/oclc/forms/terms/vbrl-201703.pdf
999 _c130130
_d130130