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3-dimensional Bol loops as sections in non-solvable Lie groups

3-dimensional Bol loops as sections in non-solvable Lie groups Using the relations between affine symmetric spaces and differentiable Bol loops we determine all 3-dimensional connected differentiable proper Bol loops having a non-solvable Lie group as the group topologically generated by their left translations. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Forum Mathematicum de Gruyter

3-dimensional Bol loops as sections in non-solvable Lie groups

Figula, Ágota
Forum Mathematicum , Volume 17 (3) – May 25, 2005
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Publisher
de Gruyter
Copyright
© de Gruyter
ISSN
0933-7741
eISSN
1435-5337
DOI
10.1515/form.2005.17.3.431
Publisher site
See Article on Publisher Site

Abstract

Using the relations between affine symmetric spaces and differentiable Bol loops we determine all 3-dimensional connected differentiable proper Bol loops having a non-solvable Lie group as the group topologically generated by their left translations.

Journal

Forum Mathematicum – de Gruyter

Published: May 25, 2005

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