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Diameter of a finite group : ウィキペディア英語版 | Diameter of a finite group In group theory, the diameter of a group is a measure of a finite group's complexity. Consider a finite group , and any set of generators ''S''. Define to be the graph diameter the Cayley graph . Then the diameter of is the maximal value of taken over all generating sets ''S''. It is conjectured that, for all finite simple groups ''G'', that : ==References==
* H. A. Helfgott and Á. Seress, ("On the diameter of permutation groups" ), Annals of Mathematics, vol 179:2 (2014), pp 611–658; cf. arXiv:1109.3550
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