02885nam 2200649 450 99646660070331620220909053832.03-540-49564-910.1007/BFb0094472(CKB)1000000000437374(SSID)ssj0000321238(PQKBManifestationID)12041896(PQKBTitleCode)TC0000321238(PQKBWorkID)10260437(PQKB)10735288(DE-He213)978-3-540-49564-2(MiAaPQ)EBC5584933(Au-PeEL)EBL5584933(OCoLC)1066199960(MiAaPQ)EBC6842062(Au-PeEL)EBL6842062(OCoLC)1292360337(PPN)155217178(EXLCZ)99100000000043737420220909d1996 uy 0engurnn|008mamaatxtccrAlmost-Bieberbach groups affine and polynomial structures /Karel Dekimpe1st ed. 1996.Berlin :Springer,[1996]©19961 online resource (X, 262 p.) Lecture notes in mathematics ;1639Bibliographic Level Mode of Issuance: Monograph3-540-61899-6 Includes bibliographical references and index.Preliminaries 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.Starting 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.Lecture notes in mathematics (Springer-Verlag) ;1639.Linear algebraic groupsTopological transformation groupsNilpotent groupsLinear algebraic groups.Topological transformation groups.Nilpotent groups.512.55Dekimpe Karel1967-61072MiAaPQMiAaPQMiAaPQBOOK996466600703316Almost-bieberbach groups262422UNISA