| Classification of Crystallographic Groups Associated with the Infinite Dihedral Group |
| Received:September 11, 1995 |
| Key Words:
crystallographic groups infinite dihedral group.
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| Fund Project:Supported by the National Natural Science Foundation of China. |
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| Abstract: |
| Let V be a 2-dimensional vector space over the real field R with an affine or indefinite symmetric bilinear form. The infinite dihedral group W can be viewed as a subgroup of GL(V). In the present paper we will classify all crystallographic groups associated with W up to conjugation in the affine group A(V). |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.1998.01.004 |
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