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3-dimensional loops on non-solvable reductive spaces
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Ágota Figula
Veröffentlicht/Copyright:
29. Juli 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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Artikel in diesem Heft
- Semifield flocks, eggs, and ovoids of Q (4,q)
- Index of speciality and arithmetically Gorenstein subschemes
- Polar spaces embedded in projective spaces
- Equivariant periodicity for compact group actions
- The finiteness property and Łojasiewicz inequality for global semianalytic sets
- 3-dimensional loops on non-solvable reductive spaces
- A characterization of the P-geometry for M23
- A lower bound for the second sectional geometric genus of polarized manifolds
- On the geometry of linear involutions
- Removable singularities for p-harmonic maps: the subquadratic case
- Division algebras with an anti-automorphism but with no involution
