CORDIS Project
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This research focuses on understanding specific types of finite partial linear spaces using combinatorial and group theory methods. It aims to classify these spaces and their automorphism groups to enhance mathematical knowledge.
The candidate proposes to investigate certain highly symmetric finite partial linear spaces using methods from combinatorics and group theory. A partial linear space consists of a set of points and a set of subsets of points called lines for which each pair of points lies on at most one line, and each line contains at least two points.
Both linear spaces and simple undirected graphs are examples of partial linear spaces.
For a class of graphs X, a graph G is X-homogeneous if any isomorphism betw…
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