Crystallographic groups of Sol |
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Authors: | Ku Yong Ha Jong Bum Lee |
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Institution: | 1. +82 2 2642 2564+82 2 714 6284;2. Department of Mathematics, Sogang University, , Seoul, 121‐742 Korea |
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Abstract: | We classify all the closed 3‐dimensional orbifolds with Sol‐geometry. These are aspherical orbifolds and so their fundamental groups determine the orbifolds completely. Thus we will classify all the crystallographic groups of Sol, together with all the Bieberbach groups, up to isomorphism. |
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Keywords: | Crystallographic groups extensions infra‐solvmanifolds Sol‐geometry special cocycles 57S25 22E25 |
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