Geodesic
Information pasts in groups
Izvestiya. Mathematics, Tome 22 (1984) no. 2, pp. 393-398 
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/
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Voir la notice de l'article provenant de la source Math-Net.Ru

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.

[1] Stepin A. M., “Ravnoraspredelennost entropii amenabelnykh grupp preobrazovanii”, Dokl. AN Az. SSR, 34:9 (1978), 3–7 | MR | Zbl

[2] Pitskel B. S., Stepin A. M., “O svoistve ravnoraspredelennosti entropii kommutativnykh grupp metricheskikh avtomorfizmov”, Dokl. AN SSSR, 198:5 (1971), 1021–1024 | MR | Zbl

[3] Pitskel B. S., “Ob informatsionnykh buduschikh amenabelnykh grupp”, Dokl. AN SSSR, 223:5 (1975), 1067–1070 | MR | Zbl