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Published online by Cambridge University Press: 20 November 2018
If (G ; U, V) is a triad with G a group we define
where [g, u] = gug-1u-1 is the commutator. CG(U, V) will be called the (left) center of U in G modulo V or in brief a (left) C-space. If G is a topological group it will be understood that the topology on CG(U, V) is the relative topology of G.