|
|
|
|
| LEADER |
01933nmm a2200301 u 4500 |
| 001 |
EB000659108 |
| 003 |
EBX01000000000000000512190 |
| 005 |
00000000000000.0 |
| 007 |
cr||||||||||||||||||||| |
| 008 |
140122 ||| eng |
| 020 |
|
|
|a 9783540495642
|
| 100 |
1 |
|
|a Dekimpe, Karel
|
| 245 |
0 |
0 |
|a Almost-Bieberbach Groups: Affine and Polynomial Structures
|h Elektronische Ressource
|c by Karel Dekimpe
|
| 250 |
|
|
|a 1st ed. 1996
|
| 260 |
|
|
|a Berlin, Heidelberg
|b Springer Berlin Heidelberg
|c 1996, 1996
|
| 300 |
|
|
|a X, 262 p
|b online resource
|
| 505 |
0 |
|
|a 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
|
| 653 |
|
|
|a Group Theory and Generalizations
|
| 653 |
|
|
|a Geometry, Differential
|
| 653 |
|
|
|a Group theory
|
| 653 |
|
|
|a Differential Geometry
|
| 041 |
0 |
7 |
|a eng
|2 ISO 639-2
|
| 989 |
|
|
|b SBA
|a Springer Book Archives -2004
|
| 490 |
0 |
|
|a Lecture Notes in Mathematics
|
| 028 |
5 |
0 |
|a 10.1007/BFb0094472
|
| 856 |
4 |
0 |
|u https://doi.org/10.1007/BFb0094472?nosfx=y
|x Verlag
|3 Volltext
|
| 082 |
0 |
|
|a 512.2
|
| 520 |
|
|
|a 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
|