Maximally symmetric trees

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dc.creatorMosher, Lee
dc.creatorSageev, Michah
dc.creatorWhyte, Kevin
dc.date2000-12-01
dc.date2001-02-25
dc.date.accessioned2026-07-07T04:38:58Z
dc.date.available2026-07-07T04:38:58Z
dc.descriptionWe characterize the ``best'' model geometries for the class of virtually free groups, and we show that there is a countable infinity of distinct ``best'' model geometries in an appropriate sense--these are the maximally symmetric trees. The first theorem gives several equivalent conditions on a bounded valence, cocompact tree T without valence 1 vertices saying that T is maximally symmetric. The second theorem gives general constructions for maximally symmetric trees, showing for instance that every virtually free group has a maximally symmetric tree for a model geometry.
dc.description37 pages. A minor revision, correcting a few typos, grammar errors, and omissions
dc.identifierhttps://arxiv.org/abs/math/0012004
dc.identifierhttp://arxiv.org/abs/math/0012004
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60490
dc.subjectGroup Theory
dc.subject20F65
dc.titleMaximally symmetric trees
dc.typetext

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