The linear part of an affine group acting properly discontinuously and leaving a quadratic form invariant
| العنوان: | The linear part of an affine group acting properly discontinuously and leaving a quadratic form invariant |
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| المؤلفون: | Herbert Abels, G. A. Soifer, Gregory Margulis |
| المصدر: | Geometriae Dedicata. 153:1-46 |
| بيانات النشر: | Springer Science and Business Media LLC, 2010. |
| سنة النشر: | 2010 |
| مصطلحات موضوعية: | Dicyclic group, Alternating group, General linear group, Virtually solvable group, Combinatorics, Affine group, Affine representation, Crystallographic group, Orthogonal group, Indefinite orthogonal group, Geometry and Topology, Point groups in two dimensions, Mathematics |
| الوصف: | In this paper we study the dynamics of properly discontinuous and crystallographic affine groups leaving a quadratic from of signature (p, q) invariant. The main results are: (I) If p - q a parts per thousand yen 2, then the linear part of the group is not Zariski dense in the corresponding orthogonal group. (II) If q = 2 and the group is crystallographic, then the group is virtually solvable. This proves the Auslander conjecture for this case. |
| تدمد: | 1572-9168 0046-5755 |
| الوصول الحر: | https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b382ad13c6c0095d334f990f9086c0e5Test https://doi.org/10.1007/s10711-010-9554-zTest |
| حقوق: | CLOSED |
| رقم الانضمام: | edsair.doi.dedup.....b382ad13c6c0095d334f990f9086c0e5 |
| قاعدة البيانات: | OpenAIRE |
| تدمد: | 15729168 00465755 |
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