A correction to the 41-structure of the Monster, a construction of a new maximal subgroup L2(41) and a new Moonshine phenomenon

We correct the result of a previous paper which purported to show that L2(41) was not a subgroup of . Our main result is that there is exactly one conjugacy class of subgroups L2(41) in the Monster, such subgroups being self-normalizing and maximal. This leads to a new unexplained Moonshine phenomen...

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Veröffentlicht in:Journal of the London Mathematical Society 2013-06, Vol.87 (3), p.943-962
Hauptverfasser: Norton, Simon P., Wilson, Robert A.
Format: Artikel
Sprache:eng
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Zusammenfassung:We correct the result of a previous paper which purported to show that L2(41) was not a subgroup of . Our main result is that there is exactly one conjugacy class of subgroups L2(41) in the Monster, such subgroups being self-normalizing and maximal. This leads to a new unexplained Moonshine phenomenon.
ISSN:0024-6107
1469-7750
DOI:10.1112/jlms/jds078