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Crystallographic groups of Sol
Authors:Ku Yong Ha  Jong Bum Lee
Institution:1. +82 2 2642 2564+82 2 714 6284;2. Department of Mathematics, Sogang University, , Seoul, 121‐742 Korea
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.
Keywords:Crystallographic groups  extensions  infra‐solvmanifolds  Sol‐geometry  special cocycles  57S25  22E25
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