000 | 02740nam a22004815i 4500 | ||
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001 | 978-3-540-49564-2 | ||
003 | DE-He213 | ||
005 | 20190213151604.0 | ||
007 | cr nn 008mamaa | ||
008 | 121227s1996 gw | s |||| 0|eng d | ||
020 |
_a9783540495642 _9978-3-540-49564-2 |
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024 | 7 |
_a10.1007/BFb0094472 _2doi |
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050 | 4 | _aQA174-183 | |
072 | 7 |
_aPBG _2bicssc |
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072 | 7 |
_aMAT002010 _2bisacsh |
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072 | 7 |
_aPBG _2thema |
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082 | 0 | 4 |
_a512.2 _223 |
100 | 1 |
_aDekimpe, Karel. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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245 | 1 | 0 |
_aAlmost-Bieberbach Groups: Affine and Polynomial Structures _h[electronic resource] / _cby Karel Dekimpe. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c1996. |
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300 |
_aX, 262 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 |
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490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1639 |
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505 | 0 | _aPreliminaries and notational conventions -- Infra-nilmanifolds and Almost-Bieberbach groups -- Algebraic characterizations of almost-crystallographic groups -- Canonical type representations -- The Cohomology of virtually nilpotent groups -- Infra-nilmanifolds and their topological invariants -- Classification survey. | |
520 | _aStarting from basic knowledge of nilpotent (Lie) groups, an algebraic theory of almost-Bieberbach groups, the fundamental groups of infra-nilmanifolds, is developed. These are a natural generalization of the well known Bieberbach groups and many results about ordinary Bieberbach groups turn out to generalize to the almost-Bieberbach groups. Moreover, using affine representations, explicit cohomology computations can be carried out, or resulting in a classification of the almost-Bieberbach groups in low dimensions. The concept of a polynomial structure, an alternative for the affine structures that sometimes fail, is introduced. | ||
650 | 0 | _aGroup theory. | |
650 | 0 | _aGlobal differential geometry. | |
650 | 1 | 4 |
_aGroup Theory and Generalizations. _0http://scigraph.springernature.com/things/product-market-codes/M11078 |
650 | 2 | 4 |
_aDifferential Geometry. _0http://scigraph.springernature.com/things/product-market-codes/M21022 |
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783662161500 |
776 | 0 | 8 |
_iPrinted edition: _z9783540618997 |
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1639 |
|
856 | 4 | 0 | _uhttps://doi.org/10.1007/BFb0094472 |
912 | _aZDB-2-SMA | ||
912 | _aZDB-2-LNM | ||
912 | _aZDB-2-BAE | ||
999 |
_c11203 _d11203 |