JP Journal of Algebra, Number Theory and Applications
Volume 40, Issue 5, Pages 823 - 831
(October 2018) http://dx.doi.org/10.17654/NT040050823 |
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ON MEASURE TRANSITIVE G-SETS
Assari Amir and Kasiri Hossein
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Abstract: In this paper, we consider measure preserving actions on abstract groups. By neglecting the null sets for a measure space, some properties of such an action can remain, but some of them will be dismissed. Our main goal is to determine the remaining properties as well as some measure properties of such actions. We also use such an action to create an action on L1. |
Keywords and phrases: transitive action, measure space, measure preserving.
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