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Autore: | Dekimpe Karel <1967-> |
Titolo: | Almost-Bieberbach groups : affine and polynomial structures / / Karel Dekimpe |
Pubblicazione: | Berlin : , : Springer, , [1996] |
©1996 | |
Edizione: | 1st ed. 1996. |
Descrizione fisica: | 1 online resource (X, 262 p.) |
Disciplina: | 512.55 |
Soggetto topico: | Linear algebraic groups |
Topological transformation groups | |
Nilpotent groups | |
Note generali: | Bibliographic Level Mode of Issuance: Monograph |
Nota di bibliografia: | Includes bibliographical references and index. |
Nota di contenuto: | 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. |
Sommario/riassunto: | 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. |
Titolo autorizzato: | Almost-bieberbach groups |
ISBN: | 3-540-49564-9 |
Formato: | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione: | Inglese |
Record Nr.: | 996466600703316 |
Lo trovi qui: | Univ. di Salerno |
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