Title : The generating graph of a finite group
Speaker: Colva Roney-Dougal
Affiliation: University of St Andrews
Time: 13:00 Wednesday, 28 February, 2018
Location: 303-257
The generating graph of a finite group G is a graph whose vertices are the elements of G, and with an edge between x and y if and only if x and y generate G. This is clearly only an interesting object for groups that are 2-generated, but fortunately a great many interesting families of groups are 2-generated, including (as we saw in Scott Harperís recent talk) all finite simple groups. Iíll give a survey of what is currently known about the generating graph, and finish with several open problems.

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