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 (Formula presented.) -actions.

Non-Virtually Abelian Discontinuous Group Actions vs. Proper SL (2,ℝ) -Actions on Homogeneous Spaces / Bocheński, Maciej; De Graaf, Willem A.; Jastrzȩbski, Piotr; Tralle, Aleksy. - In: EXPERIMENTAL MATHEMATICS. - ISSN 1058-6458. - 34:2(2025), pp. 307-315. [10.1080/10586458.2024.2363508]

Non-Virtually Abelian Discontinuous Group Actions vs. Proper SL (2,ℝ) -Actions on Homogeneous Spaces

de Graaf, Willem A.;
2025-01-01

Abstract

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 (Formula presented.) -actions.
2025
2
Bocheński, Maciej; De Graaf, Willem A.; Jastrzȩbski, Piotr; Tralle, Aleksy
Non-Virtually Abelian Discontinuous Group Actions vs. Proper SL (2,ℝ) -Actions on Homogeneous Spaces / Bocheński, Maciej; De Graaf, Willem A.; Jastrzȩbski, Piotr; Tralle, Aleksy. - In: EXPERIMENTAL MATHEMATICS. - ISSN 1058-6458. - 34:2(2025), pp. 307-315. [10.1080/10586458.2024.2363508]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11572/466696
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