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On the Maximality of Psl( D + 1, q ), d ⩾ 2
Author(s) -
Kantor W. M.,
McDonough T. P.
Publication year - 1974
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/s2-8.3.426
Subject(s) - citation , mathematics , library science , mathematics education , combinatorics , computer science
It is well known that the Mathieu groups M12 and M24 contain PSL(2,11) and PSL(2, 23) in their natural permutation representations of degrees 12 and 24, respectively (see, e.g., [2]). It is therefore natural to consider the permutation representation of H = ?SL(d+\,q) of degree v = (g d + 1 l ) / (gl ) on the set Q of points of projective d-space PG(d, q), and to ask what subgroups of Sym (fi) contain H. While nothing seems to be known for d = 1, we shall answer this question when d ^ 2.