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arXiv:2309.16791 [math.GT]AbstractReferencesReviewsResources

Group rings and hyperbolic geometry

Grigori Avramidi, Thomas Delzant

Published 2023-09-28Version 1

For a group acting on a hyperbolic space, we set up an algorithm in the group algebra showing that ideals generated by few elements are free, where few is a function of the minimal displacement of the action, and derive algebraic, geometric, and topological consequences.

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