Geodesic
Information pasts in groups
Izvestiya. Mathematics , Tome 22 (1984) no. 2, pp. 393-398

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A simple algebraic characterization is obtained for information pasts in amenable groups. It is proved that a subset $P$ of a countable amenable group $G$ is an information past in $G$ if and only if the set of negative elements for some linear ordering of $G$ is invariant under left translations. Bibliography: 3 titles. 
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     author = {A. V. Safonov},
     title = {Information pasts in groups},
     journal = {Izvestiya. Mathematics },
     pages = {393--398},
     publisher = {mathdoc},
     volume = {22},
     number = {2},
     year = {1984},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1984_22_2_a11/}
}
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A. V. Safonov. Information pasts in groups. Izvestiya. Mathematics , Tome 22 (1984) no. 2, pp. 393-398. http://geodesic.mathdoc.fr/item/IM2_1984_22_2_a11/