On (1, 4)-Groups II

Citation

Buekenhout F & Rowlinson P (1974) On (1, 4)-Groups II. Journal of the London Mathematical Society, s2-8 (3), pp. 507-513. https://doi.org/10.1112/jlms/s2-8.3.507

Abstract
First paragraph: We recall some definitions and notation from [15]. A (c,ƒ)-group is a finite c-transitive permutation group (G, Ω) of even order such that ƒ is the maximal number of points of Ω fixed by an involution of G. A d-involution of G is an involution fixing precisely d points of Ω. For ge G, Δ(g) is the set of fixed points of g, and (when Δ(g) is non-empty) K(g), D(g) are respectively the setwise, pointwise stabilizers of Δ(g). By a 4-block we shall mean any set Δ(g) where g is a 4-involution.

Journal
Journal of the London Mathematical Society: Volume s2-8, Issue 3

People

Professor Peter Rowlinson

Emeritus Professor, Mathematics