Finite Groups of Uniform Logarithmic Diameter

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dc.creatorAbert, Miklos
dc.creatorBabai, Laszlo
dc.date2005-06-01
dc.date.accessioned2026-07-07T05:20:26Z
dc.date.available2026-07-07T05:20:26Z
dc.descriptionWe give an example of an infinite family of finite groups $G_n$ such that each $G_n$ can be generated by 2 elements and the diameter of every Cayley graph of $G_n$ is $O(\log (| G_{n}|))$. This answers a question of Lubotzky.
dc.identifierhttps://arxiv.org/abs/math/0506007
dc.identifierhttp://arxiv.org/abs/math/0506007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75377
dc.subjectGroup Theory
dc.titleFinite Groups of Uniform Logarithmic Diameter
dc.typetext

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