THE SMALL INDEX PROPERTY FOR COUNTABLE 1-TRANSITIVE LINEAR ORDERS
Glasgow mathematical journal, Tome 47 (2005) no. 1, pp. 69-75
Voir la notice de l'article provenant de la source Cambridge University Press
It is shown that the countable saturated discrete linear ordering has the small index property, but that the countable 1-transitive linear orders which contain a convex subset isomorphic to ${\Bbb Z}^2$ do not. Similar results are also proved in the coloured case.
CHICOT, K.; TRUSS, J. K. THE SMALL INDEX PROPERTY FOR COUNTABLE 1-TRANSITIVE LINEAR ORDERS. Glasgow mathematical journal, Tome 47 (2005) no. 1, pp. 69-75. doi: 10.1017/S0017089504002071
@article{10_1017_S0017089504002071,
author = {CHICOT, K. and TRUSS, J. K.},
title = {THE {SMALL} {INDEX} {PROPERTY} {FOR} {COUNTABLE} {1-TRANSITIVE} {LINEAR} {ORDERS}},
journal = {Glasgow mathematical journal},
pages = {69--75},
year = {2005},
volume = {47},
number = {1},
doi = {10.1017/S0017089504002071},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089504002071/}
}
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