By the rank of a transitive permutation group we mean the number of orbits of the stabilizer of a point thus rank 2 means multiple transitivity. Interest is drawn to the simply transitive groups ofâ€¦ (More)

In Section 2, after giving the basic definitions and some elementary consequences, we introduce two fundamental algebraic structures associated with a coherent configuration, namely, the booleanâ€¦ (More)

Three of the four non-trivial types of coherent configurations (co's) having two fibers of rank 2 or 3 are equivalent, respectively, to symmetric designs, quasi-symmetric designs and strongly regularâ€¦ (More)

In this paper we study finite transitive groups G acting on a set Q. The results, which are trivial for multiply-transitive groups, directly generalize parts of the discussion of rank-3 groups in [4]â€¦ (More)

The group G of the title is obtained as a primitive permutation group of degree 100 in which the stabilizer of a point has orbits of lengths 1, 22 and 77 and is isomorphic to the Mathieu group M22.â€¦ (More)

As a continuation of the study of rank 3 permutation groups G begun in [4] we consider in this paper primitive rank 3 groups of even order in which the stabilizer Ga of a point a has an orbit ofâ€¦ (More)

We use throughout the notation of [5], to which we refer for the basic theory of finite rank 3 permutation groups G. The solvable primitive rank 3 permutation groups have been determined by Foulserâ€¦ (More)

Introduction. By a lattice homorphism of a group G onto a group G' we mean a single-valued mapping <f> of the lattice L(G) of subgroups of G onto the lattice L(G') of subgroups of G', which preservesâ€¦ (More)