000 02665nam a22004815i 4500
001 978-3-540-68337-7
003 DE-He213
005 20190213151627.0
007 cr nn 008mamaa
008 121227s1996 gw | s |||| 0|eng d
020 _a9783540683377
_9978-3-540-68337-7
024 7 _a10.1007/BFb0092624
_2doi
050 4 _aQA174-183
072 7 _aPBG
_2bicssc
072 7 _aMAT002010
_2bisacsh
072 7 _aPBG
_2thema
082 0 4 _a512.2
_223
100 1 _aLang, Serge.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aTopics in Cohomology of Groups
_h[electronic resource] /
_cby Serge Lang.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c1996.
300 _aVI, 227 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1625
505 0 _aExistence 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.
520 _aThe 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.
650 0 _aGroup theory.
650 0 _aK-theory.
650 1 4 _aGroup Theory and Generalizations.
_0http://scigraph.springernature.com/things/product-market-codes/M11078
650 2 4 _aK-Theory.
_0http://scigraph.springernature.com/things/product-market-codes/M11086
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783662198001
776 0 8 _iPrinted edition:
_z9783540611813
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1625
856 4 0 _uhttps://doi.org/10.1007/BFb0092624
912 _aZDB-2-SMA
912 _aZDB-2-LNM
912 _aZDB-2-BAE
999 _c11326
_d11326