Abstract
A finite transitive permutation group is said to be elusive if it has no fixed-point free elements of prime order. In this paper we show that all elusive groups G = N ⋊ G 1 with N an elementary abelian minimal normal subgroup and G 1 cyclic, can be constructed from transitive subgroups of AGL(1, p 2), for p a Mersenne prime, acting on the set of p(p + 1) lines of the affine plane AG(2, p).
Original language | English |
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Pages (from-to) | 95-105 |
Journal | Journal of Group Theory |
Volume | 12 |
Issue number | 1 |
DOIs | |
Publication status | Published - 2009 |