Most actions on regular trees are almost free

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Let T be a d-regular tree (d > 2) and A=Aut(T), its automorphism group. Let G be a group generated by n independent Haar-random elements of A. We show that almost surely, every nontrivial element of G has finitely many fixed points on T.
16 pages, one figure, to appear in GGD

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Group Theory, Combinatorics, 20E08; 05C05; 20P05

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http://salesiana.dossiersoluciones.com/handle/123456789/171127

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0810.1731
 http://arxiv.org/abs/0810.1731

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arXiv