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00890 am a22001453u 4500 |
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|a Burness, Timothy C.
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|a O'Brien, E.A.
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|a Wilson, Robert A.
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|a Base sizes for sporadic simple groups
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|c 2010.
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|z Get fulltext
|u https://eprints.soton.ac.uk/48270/1/basesporadic3.pdf
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|a Let G be a permutation group acting on a set . A subset of is a base for G if its pointwise stabilizer in G is trivial. We write b(G) for the minimal size of a base for G. We determine the precise value of b(G) for every primitive almost simple sporadic group G, with the exception of two cases involving the Baby Monster group. As a corollary, we deduce that b(G) 6 7, with equality if and only if G is the Mathieu group M24 in its natural action on 24 points. This settles a conjecture of Cameron.
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