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JOURNALS // Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya // Archive

Izv. RAN. Ser. Mat., 2025 Volume 89, Issue 4, Pages 32–53 (Mi im9643)

On lattices in Lie groups of general type and some applications

V. V. Gorbatsevich


Abstract: We consider discrete uniform subgroups in Lie groups and their intersections with some types of Lie subgroups. The results obtained are applied in problems of fundamental groups of compact homogeneous spaces and topological structure of such spaces.

Keywords: Lie group, lattices in Lie groups, Levi factor, radical, nilradical, homogeneous space.

UDC: 515.765

MSC: 22E40, 22F30

Received: 20.08.2024
Revised: 29.11.2024

DOI: 10.4213/im9643


 English version:
Izvestiya: Mathematics, 2025, 89:4, 681–700

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© Steklov Math. Inst. of RAS, 2026