January 1, 2025Izvestiya Mathematics

On lattices in Lie groups of general type and some applications

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Lattices in lie groups influence fundamental group outcomes and their topological implications.
The study identifies links between discrete uniform subgroups and their intersection properties.
Assessment of fundamental groups applies to compact homogeneous spaces, enhancing understanding of topology.
Results suggest ways to apply subgroup findings to solve problems in topology and geometry.

Implication

Analysis of discrete uniform subgroups in Lie groups reveals insights into fundamental group problems and topological structures.

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.

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Cite This Study

В. В. Горбацевич (2025) studied this question.

synapsesocial.com/papers/68af5f13ad7bf08b1eae1d9d https://doi.org/10.4213/im9643e

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Implication

Analysis of discrete uniform subgroups in Lie groups reveals insights into fundamental group problems and topological structures.

On lattices in Lie groups of general type and some applications

Key Points

Implication

Abstract

Discussion

Cite This Study

On lattices in Lie groups of general type and some applications

Key Points

Implication

Abstract

Discussion

Cite This Study

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