The (2,p)-generation of sporadic simple groups
classification
🧮 math.GR
keywords
groupssimplesporadicorderdividingelementexceptionfour
read the original abstract
In this short note we prove that, if $p$ is an odd prime dividing the order of a sporadic simple group, then with the exception of four groups for $p=3$, all sporadic simple groups are generated by an involution and an element of order $p$.
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