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A correction to the 41‐structure of the Monster, a construction of a new maximal subgroup L 2 (41) and a new Moonshine phenomenon
Author(s) -
Norton Simon P.,
Wilson Robert A.
Publication year - 2013
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms/jds078
Subject(s) - monster , maximal subgroup , phenomenon , mathematics , combinatorics , group (periodic table) , physics , art , normal subgroup , art history , quantum mechanics
We correct the result of a previous paper which purported to show that L 2 (41) was not a subgroup of . Our main result is that there is exactly one conjugacy class of subgroups L 2 (41) in the Monster, such subgroups being self‐normalizing and maximal. This leads to a new unexplained Moonshine phenomenon.
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