Weak disjointness of transformation groups

Peleg, Reuven

doi:10.1090/S0002-9939-1972-0298642-2

Weak disjointness of transformation groups
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by Reuven Peleg

Proc. Amer. Math. Soc. 33 (1972), 165-170

DOI: https://doi.org/10.1090/S0002-9939-1972-0298642-2

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Abstract:

Two transformation groups (t.g.) are called weakly disjoint if their product is ergodic. We characterize this relation for a certain class of t.g. and then prove that for (X, T) and (Y, T) in a certain family of t.g. (X, T) and (Y, T) are disjoint iff they have no nontrivial common factor. Finally, we generalize some disjointness relations of [2] and [4].

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