On the local extension of the group of parallel translations of the four-dimensional space

K. K. Avanesyan, V. A. Kyrov

Gorno-Altaisk State University

Abstract: In this paper, we consider the problem of finding all locally boundedly exactly doubly transitive extensions of the parallel translation group of a four-dimensional space. Groups with decomposable Lie algebras are found.

Keywords: boundedly exactly doubly transitive transformation group, parallel translation group, Lie algebra, Jordan matrix form

UDC: 512.826.3

MSC: 22F05

DOI: 10.36535/2782-4438-2025-244-3-27