A
partial linear space is a non-empty set of
, provided with a
collection of subsets called
such that any pair of points is contained in at most one line and every line
contains at least two points. Graphs and linear spaces are particular cases
of partial linear spaces. A partial linear space which is not a graph or a
linear space is called proper. In this paper, we give a complete classification
of all finite proper partial linear spaces admitting a primitive rank
automorphism group of almost simple type.
Keywords
partial linear space, automorphism group, rank-3 group,
almost simple group
