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- John McCabe, Kathryn Weld
- 2009

Let G be a group. We will call G a group with Cayley data if we are given all three of the following: the underlying set G; the collection of all Cayley sets of G; and for each Cayley subset S of G, the corresponding Cayley graph Cay(G, S). Is it then possible, from the Cayley data, to reconstruct the binary operation of the group? Is it possible to… (More)

- Richard Goldstone, Kathryn Weld
- Discrete Mathematics
- 2010

- John McCabe, Kathryn Weld
- 2011

Let G be a group and CayP (G) < Sym(G) be the subgroup of all permutations that induce graph automorphisms on every Cayley graph of G. The group G is graphically abelian if the map ν : g → g −1 belongs to CayP (G); these groups have been classified. Also G is irregular if there exists σ ∈ CayP (G) such that σ = 1 G , σ(1) = 1 and σ = ν. We show G is… (More)

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