Geodesic
On the local extension of the group of parallel translations of four-dimensional space
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Differential Equations and Mathematical Physics, Tome 225 (2023), pp. 87-107.

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The problem of the search for all locally boundedly exactly doubly transitive extensions of the group of parallel translations of a four-dimensional space is reduced to the calculation of the Lie algebras of locally boundedly exactly doubly transitive extensions of the group of parallel translations. Some locally boundedly exactly doubly transitive transformation Lie groups with decomposable Lie algebras are found.
Mots-clés : transitive transformation group, Jordan form.
Keywords: group of parallel translations, Lie algebra 
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V. A. Kyrov. On the local extension of the group of parallel translations of four-dimensional space. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Differential Equations and Mathematical Physics, Tome 225 (2023), pp. 87-107. http://geodesic.mathdoc.fr/item/INTO_2023_225_a7/

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