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Record Nr. |
UNISA996466600703316 |
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Autore |
Dekimpe Karel <1967-> |
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Titolo |
Almost-Bieberbach groups : affine and polynomial structures / / Karel Dekimpe |
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Pubbl/distr/stampa |
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Berlin : , : Springer, , [1996] |
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©1996 |
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ISBN |
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Edizione |
[1st ed. 1996.] |
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Descrizione fisica |
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1 online resource (X, 262 p.) |
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Collana |
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Lecture notes in mathematics ; ; 1639 |
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Disciplina |
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Soggetti |
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Linear algebraic groups |
Topological transformation groups |
Nilpotent groups |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Bibliographic Level Mode of Issuance: Monograph |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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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. |
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Sommario/riassunto |
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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. |
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