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arxiv: 1008.1503 · v1 · pith:3M2QQOYHnew · submitted 2010-08-09 · 🧮 math.GR

The exact spread of M23 is 8064

classification 🧮 math.GR
keywords distinctelementsgroupelementeveryexactexistsgenerates
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We show that if {x1,...,x8064} is a set of distinct non-trivial elements of the sporadic simple Mathieu group M23 then there exists an element y such that {y,x_i} generates the whole group for every 0<i<8065 and that no larger set of distinct elements of M23 has this property.

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