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

Published 2 Jun 2022 in math.GR and math.RT | (2206.01069v4)

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 SL(2,R)-actions.

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