Discrete and free groups acting on locally finite trees

نویسندگان

چکیده

We present an algorithm to decide whether or not a finitely generated subgroup of the isometry group locally finite simplicial tree is both discrete and free. The correctness this relies on following conjecture: every ‘minimal’ n-tuple isometries either contains elliptic element satisfies hypotheses Ping Pong Lemma. prove conjecture for n=2,3, show that it implies generalisation Ihara's Theorem.

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ژورنال

عنوان ژورنال: Journal of Algebra

سال: 2022

ISSN: ['1090-266X', '0021-8693']

DOI: https://doi.org/10.1016/j.jalgebra.2022.01.011