The exact spread of M23 is 8064

zbMATH Open1254.20014arXiv1008.1503MaRDI QIDQ4648680

Ben Fairbairn

Publication date: 15 November 2012

Abstract: 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.

Full work available at URL: https://arxiv.org/abs/1008.1503

zbMATH Keywords

sporadic simple groupsfinite simple groupsexact spreads

Mathematics Subject Classification ID

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Related Items (1)

Upper bounds on the uniform spreads of the sporadic simple groups

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