THE EXTERIOR SQUARES OF SOME CRYSTALLOGRAPHIC GROUPS
A crystallographic group is a discrete subgroup G of the set of isometries of Euclidean space E n ,where the quotient space En/G is compact. A specific type of crystallographic groups is called Bieberbach groups. A Bieberbach group is defined to be a torsion free crystallographic group. In this pape...
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| Main Authors: | , , , , |
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| Format: | Article |
| Published: |
2013
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| Subjects: | |
| Online Access: | http://pustaka2.upsi.edu.my/eprints/894/ http://pustaka2.upsi.edu.my/eprints/894/1/THE%20EXTERIOR%20SQUARES%20OF%20SOME%20CRYSTALLOGRAPHIC%20GROUPS.pdf |
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| Summary: | A crystallographic group is a discrete subgroup G of the set of isometries of Euclidean space E n ,where the quotient space En/G is compact. A specific type of crystallographic groups is called Bieberbach groups. A Bieberbach group is defined to be a torsion free crystallographic group. In this paper, the exterior squares of some Bieberbach groups with abelian point groups are computed. The exterior square of a group is the factor group of the nonabelian tensor square with the central subgroup of the group.
Keywords: Crystallographic groups; Bieberbach groups; exterior squares |
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