LEADER 02885nam 2200649 450 001 996466600703316 005 20220909053832.0 010 $a3-540-49564-9 024 7 $a10.1007/BFb0094472 035 $a(CKB)1000000000437374 035 $a(SSID)ssj0000321238 035 $a(PQKBManifestationID)12041896 035 $a(PQKBTitleCode)TC0000321238 035 $a(PQKBWorkID)10260437 035 $a(PQKB)10735288 035 $a(DE-He213)978-3-540-49564-2 035 $a(MiAaPQ)EBC5584933 035 $a(Au-PeEL)EBL5584933 035 $a(OCoLC)1066199960 035 $a(MiAaPQ)EBC6842062 035 $a(Au-PeEL)EBL6842062 035 $a(OCoLC)1292360337 035 $a(PPN)155217178 035 $a(EXLCZ)991000000000437374 100 $a20220909d1996 uy 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aAlmost-Bieberbach groups $eaffine and polynomial structures /$fKarel Dekimpe 205 $a1st ed. 1996. 210 1$aBerlin :$cSpringer,$d[1996] 210 4$dİ1996 215 $a1 online resource (X, 262 p.) 225 1 $aLecture notes in mathematics ;$v1639 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-540-61899-6 320 $aIncludes bibliographical references and index. 327 $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. 330 $aStarting from basic knowledge of nilpotent (Lie) groups, an algebraic theory of almost-Bieberbach groups, the fundamental groups of infra-nilmanifolds, is developed. These are a natural generalization of the well known Bieberbach groups and many results about ordinary Bieberbach groups turn out to generalize to the almost-Bieberbach groups. Moreover, using affine representations, explicit cohomology computations can be carried out, or resulting in a classification of the almost-Bieberbach groups in low dimensions. The concept of a polynomial structure, an alternative for the affine structures that sometimes fail, is introduced. 410 0$aLecture notes in mathematics (Springer-Verlag) ;$v1639. 606 $aLinear algebraic groups 606 $aTopological transformation groups 606 $aNilpotent groups 615 0$aLinear algebraic groups. 615 0$aTopological transformation groups. 615 0$aNilpotent groups. 676 $a512.55 700 $aDekimpe$b Karel$f1967-$061072 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996466600703316 996 $aAlmost-bieberbach groups$9262422 997 $aUNISA