The (2,p)-generation of sporadic simple groups

2015/07/07 by David Craven, Craven, David A.
Mathematics · Engineering · #Finite Group Theory Research #Limits and Structures in Graph Theory #graph theory and CDMA systems

paper · pdf · doi:10.48550/arxiv.1507.01875

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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