Almost-Bieberbach groups : affine and polynomial structures /
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 g...
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| Format: | eBook |
| Language: | English |
| Published: |
New York :
Springer,
1996.
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| Series: | Lecture notes in mathematics (Springer-Verlag) ;
1639. |
| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
| Summary: | 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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| Item Description: | Electronic resource. |
| Physical Description: | 1 online resource (x, 259 pages) |
| Bibliography: | Includes bibliographical references (pages 251-255) and index. |
| ISBN: | 9783540495642 (electronic bk.) 3540495649 (electronic bk.) |
| ISSN: | 0075-8434 ; |