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Permutation representation of groups with Boolean orthogonalities
Published online by Cambridge University Press: 09 April 2009
Abstract
Reduced rings and lattice-ordered groups are examples of groups with Boolean orthogonalities. In this note we show that any group with a Boolean orthogonality satisfying a finiteness condition introduced by Stewart is isomorphic with a group of homeomorphisms of a topological space, in which two homeomorphisms are orthogonal if and only if they have disjoint supports.
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- Copyright © Australian Mathematical Society 1981