THE SMALL INDEX PROPERTY FOR COUNTABLE 1-TRANSITIVE LINEAR ORDERS
Glasgow mathematical journal, Tome 47 (2005) no. 1, pp. 69-75
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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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