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Is the Suzuki group Sz(8) a subgroup of the Monster?
Author(s) -
Wilson Robert A.
Publication year - 2016
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms/bdw012
Subject(s) - monster , mathematics , simple (philosophy) , simple group , sporadic group , combinatorics , group (periodic table) , maximal subgroup , normal subgroup , alternating group , symmetric group , chemistry , organic chemistry , philosophy , physics , epistemology , quantum mechanics
As a contribution to an eventual solution of the problem of the determination of the maximal subgroups of the Monster we show that there is no subgroup isomorphic toSz ( 8 ) . This also completes the determination of exactly which simple groups are subgroups of which of the 26 sporadic simple groups. The proof is largely, though not entirely, computer‐free.

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