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3-dimensional loops on non-solvable reductive spaces
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Ágota Figula
Published/Copyright:
July 29, 2005
Abstract
We treat the almost differentiable left A-loops as images of global differentiable sharply transitive sections σ : G | H → G for a Lie group G such that G|H is a reductive homogeneous manifold. In this paper we classify all 3-dimensional connected strongly left alternative almost differentiable left A-loops L such that for the corresponding section σ : G | H → G the Lie group G is non-solvable.
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Published Online: 2005-07-29
Published in Print: 2005-07-20
Walter de Gruyter GmbH & Co. KG
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