02618nam 2200589 450 99646661830331620220910111930.03-540-68337-210.1007/BFb0092624(CKB)1000000000437387(SSID)ssj0000327289(PQKBManifestationID)12081538(PQKBTitleCode)TC0000327289(PQKBWorkID)10301430(PQKB)10321935(DE-He213)978-3-540-68337-7(MiAaPQ)EBC5592598(Au-PeEL)EBL5592598(OCoLC)1066188547(MiAaPQ)EBC6842043(Au-PeEL)EBL6842043(OCoLC)1293263392(PPN)15517083X(EXLCZ)99100000000043738720220910d1996 uy 0engurnn|008mamaatxtccrTopics in cohomology of groups /Serge Lang1st ed. 1996.Berlin, Germany :Springer,[1996]©19961 online resource (VI, 227 p.) Lecture Notes in Mathematics,0075-8434 ;1625Bibliographic Level Mode of Issuance: Monograph3-540-61181-9 Existence and uniqueness -- Relations with subgroups -- Cohomological triviality -- Cup products -- Augmented products -- Spectral sequences -- Groups of galois type -- Group extensions -- Class formations -- Applications of Galois cohomology in algebraic geometry.The book is a mostly translated reprint of a report on cohomology of groups from the 1950s and 1960s, originally written as background for the Artin-Tate notes on class field theory, following the cohomological approach. This report was first published (in French) by Benjamin. For this new English edition, the author added Tate's local duality, written up from letters which John Tate sent to Lang in 1958 - 1959. Except for this last item, which requires more substantial background in algebraic geometry and especially abelian varieties, the rest of the book is basically elementary, depending only on standard homological algebra at the level of first year graduate students.Lecture Notes in Mathematics,0075-8434 ;1625Homology theoryHomology theory.512.74Lang Serge1927-2005,1160MiAaPQMiAaPQMiAaPQBOOK996466618303316Topics in cohomology of groups78134UNISA