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Two New Constructions of the O'Nan Group
Author(s) -
Jansen C.,
Wilson R. A.
Publication year - 1997
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/s0024610798005742
Subject(s) - representation (politics) , group (periodic table) , mathematics , field (mathematics) , order (exchange) , simple (philosophy) , combinatorics , cover (algebra) , pure mathematics , physics , engineering , quantum mechanics , mechanical engineering , philosophy , finance , epistemology , politics , political science , law , economics
A construction is described of a 153‐dimensional representation of the triple cover of O'Nan's sporadic simple group, over the field of order 4. This is then extended to a 306‐dimensional representation of 3· O ' N :2 over GF (2). A similar construction in characteristic 3 gives an unrelated representation of the O'Nan group in 154 dimensions over GF (3), which extends to O ' N :2 provided that the field is extended to GF (9).