000 | 02577nam a22004815i 4500 | ||
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001 | 978-3-540-39680-2 | ||
003 | DE-He213 | ||
005 | 20190213151426.0 | ||
007 | cr nn 008mamaa | ||
008 | 150519s2003 gw | s |||| 0|eng d | ||
020 |
_a9783540396802 _9978-3-540-39680-2 |
||
024 | 7 |
_a10.1007/b93836 _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 |
_aGreen, David J. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
245 | 1 | 0 |
_aGröbner Bases and the Computation of Group Cohomology _h[electronic resource] / _cby David J. Green. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c2003. |
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300 |
_aXII, 144 p. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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347 |
_atext file _bPDF _2rda |
||
490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1828 |
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505 | 0 | _aIntroduction -- Part I Constructing minimal resolutions: Bases for finite-dimensional algebras and modules; The Buchberger Algorithm for modules; Constructing minimal resolutions -- Part II Cohomology ring structure: Gröbner bases for graded commutative algebras; The visible ring structure; The completeness of the presentation -- Part III Experimental results: Experimental results -- A. Sample cohomology calculations -- Epilogue -- References -- Index. | |
520 | _aThis monograph develops the Gröbner basis methods needed to perform efficient state of the art calculations in the cohomology of finite groups. Results obtained include the first counterexample to the conjecture that the ideal of essential classes squares to zero. The context is J. F. Carlson’s minimal resolutions approach to cohomology computations. | ||
650 | 0 | _aGroup theory. | |
650 | 0 | _aAlgebra. | |
650 | 1 | 4 |
_aGroup Theory and Generalizations. _0http://scigraph.springernature.com/things/product-market-codes/M11078 |
650 | 2 | 4 |
_aAssociative Rings and Algebras. _0http://scigraph.springernature.com/things/product-market-codes/M11027 |
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783540203391 |
776 | 0 | 8 |
_iPrinted edition: _z9783662191170 |
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1828 |
|
856 | 4 | 0 | _uhttps://doi.org/10.1007/b93836 |
912 | _aZDB-2-SMA | ||
912 | _aZDB-2-LNM | ||
912 | _aZDB-2-BAE | ||
999 |
_c10630 _d10630 |