## Combinatorial mathematics X: proceedings of the Conference held in Adelaide, Australia, August 23-27, 1982 |

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1-wreath with parameters 3-connected abelian group Adelaide array automorphism Baer subplanes Baer subspaces bipartite graph blocks canonical form Catalan Cayley graph cc(G cells chains of length clique covering coloured Combinatorial complete mapping components construction contains Corollary corresponding coset cubic graph cycle defined deleted denote Desarguesian planes direct sum edge elements equivalent example exists finite fully embedded GF(q group G group Hadamard matrix Hadamard matrix Hence Hughes type hyperplanes idempotent incident induction integers intersection isomorphic J.A. Thas kronecker product LCBGs Lemma Math Mathematics neofield nodes number of points obtained orthogonal design ovals partial difference set partial geometries partial latin square partially transitive permutation planar plane of order poset problem projective plane Proof Rogers algebra Room square rooted trees row and column Schroder sequence subgroup subsets Suppose symbols Theorem translation plane type 6,m u-tree University of Adelaide vertex vertices walks