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19 April 2024

» arxiv » math.GR/0506007

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Finite Groups of Uniform Logarithmic Diameter
Miklos Abert ; Laszlo Babai ;
Date:	1 Jun 2005
Subject:	Group Theory \| math.GR
Abstract:	We 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.
Source:	arXiv, math.GR/0506007
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