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Discrete subgroups of Lie groups. (Russian) Zbl 0656.22004

All basic results of the theory of discrete subgroups of Lie groups are systematized. In particular, the results related to discrete subgroups of semisimple and solvable Lie groups, as well as of Lie groups of general form are given separately. Questions connected with arithmetical discrete subgroups are discussed. The article has mainly a survey nature, but in such cases where short proofs are available (especially, if these proofs have not been published), we present them.

MSC:

22E40 Discrete subgroups of Lie groups
22-02 Research exposition (monographs, survey articles) pertaining to topological groups
22E25 Nilpotent and solvable Lie groups
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