Vinberg, Eh. B.; Gorbatsevich, V. V.; Shvartsman, O. V. Discrete subgroups of Lie groups. (Russian) Zbl 0656.22004 Itogi Nauki Tekh., Ser. Sovrem. Probl. Mat., Fundam. Napravleniya 21, 5-120 (1988). 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. Cited in 1 ReviewCited in 23 Documents MSC: 22E40 Discrete subgroups of Lie groups 22-02 Research exposition (monographs, survey articles) pertaining to topological groups 22E25 Nilpotent and solvable Lie groups Keywords:discrete subgroups of Lie groups; solvable Lie groups; survey PDFBibTeX XMLCite \textit{Eh. B. Vinberg} et al., Itogi Nauki Tekh., Ser. Sovrem. Probl. Mat., Fundam. Napravleniya 21, 5--120 (1988; Zbl 0656.22004)