Non-virtually abelian discontinuous group actions vs. proper SL(2,R)-actions on homogeneous spaces

Aleksy Tralle; Maciej Bochenski; Piotr Jastrzebski; Willem A. de Graaf

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Non-virtually abelian discontinuous group actions vs. proper SL(2,R)-actions on homogeneous spaces

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arxiv 2206.01069 v4 pith:W57CCFR3 submitted 2022-06-02 math.GR math.RT

Non-virtually abelian discontinuous group actions vs. proper SL(2,R)-actions on homogeneous spaces

Maciej Bochenski , Willem A. de Graaf , Piotr Jastrzebski , Aleksy Tralle This is my paper

classification math.GR math.RT

keywords actionsgrouphomogeneousspacesabelianalgorithmsdiscontinuousnon-virtually

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We develop algorithms and computer programs which verify criteria of properness of discrete group actions on semisimple homogeneous spaces. We apply these algorithms to find new examples of non-virtually abelian discontinuous group actions on homogeneous spaces which do not admit proper SL(2,R)-actions.

Non-virtually abelian discontinuous group actions vs. proper SL(2,R)-actions on homogeneous spaces

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