The small index property for countable 1-transitive linear orders

Chicot, K. and Truss, J.K. (2005). The small index property for countable 1-transitive linear orders. Glasgow Mathematical Journal, 47(1) pp. 69–75.

DOI: https://doi.org/10.1017/S0017089504002071

Abstract

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.

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