This article is cited in 8 papers

A description of solvable Lie groups with a given uniform subgroup

M. V. Milovanov


Abstract: The article contains a method of describing all connected simply connected solvable Lie groups with a given uniform subgroup (not necessarily discrete). It is proved that such groups always form, up to isomorphism, no more than a countable set, and that this set decomposes into a finite number of classes of groups with isomorpbic commutator subgroups.
Bibliography: 9 titles.

UDC: 519.46

MSC: Primary 22E25; Secondary 22E40

Received: 07.12.1979

 English version: Mathematics of the USSR-Sbornik, 1982, 41:1, 83–99

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