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The Groups of Motions of Some Three-Dimensional Maximal Mobility Geometries

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We find the groups of motions of eight three-dimensional maximal mobility geometries. These groups are actions of just three Lie groups SL2(R)ΔN, SL2(C)R, and SL2(R)⊗SL2(R) on the space R3, where… Click to show full abstract

We find the groups of motions of eight three-dimensional maximal mobility geometries. These groups are actions of just three Lie groups SL2(R)ΔN, SL2(C)R, and SL2(R)⊗SL2(R) on the space R3, where N is a normal abelian subgroup. We also find explicit expressions for these actions.

Keywords: three dimensional; mobility geometries; maximal mobility; groups motions; dimensional maximal

Journal Title: Siberian Mathematical Journal
Year Published: 2018

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