On generators of crystallographic groups and actions on flat orbifolds
We find new bounds on the minimal number of generators of crystallographic groups with p-group holonomy. We also show that similar bounds exist on the minimal number of generators of the abelianizations of arbitrary crystallographic groups. As a consequence, we show that this restricts the rank of e...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
2012.
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| Subjects: | |
| Online Access: | Get fulltext |
| Summary: | We find new bounds on the minimal number of generators of crystallographic groups with p-group holonomy. We also show that similar bounds exist on the minimal number of generators of the abelianizations of arbitrary crystallographic groups. As a consequence, we show that this restricts the rank of elementary abelian p-groups that can act effectively on closed connected flat orbifolds. |
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