We show that the ‘tail’ of a doubly homogeneous chain of countable cofinality can
be recognized in the quotient of its automorphism group by the subgroup consisting of those
elements whose support is bounded above. This extends the authors’ earlier result establishing
this for the rationals and reals. We deduce that any group is isomorphic to the outer automorphism
group of some simple lattice-ordered group.
@article{1067620181,
author = {Giraudet, M. and Truss, J. K.},
title = {Recovering ordered structures from quotients of their automorphism groups},
journal = {J. Symbolic Logic},
volume = {68},
number = {1},
year = {2003},
pages = { 1189-1198},
language = {en},
url = {http://dml.mathdoc.fr/item/1067620181}
}
Giraudet, M.; Truss, J. K. Recovering ordered structures from quotients of their automorphism groups. J. Symbolic Logic, Tome 68 (2003) no. 1, pp. 1189-1198. http://gdmltest.u-ga.fr/item/1067620181/