This paper deals with the invariant sets in the group of isometries of a lattice-ordered group. It is shown that all the invariant sets are union of some transitivity subsets of the spheres.
@article{urn:eudml:doc:38966,
title = {Invariant sets in the group of isometries of a lattice-ordered group.},
journal = {Stochastica},
volume = {5},
year = {1981},
pages = {163-167},
zbl = {0565.06014},
mrnumber = {MR0659247},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:38966}
}
Grané Manlleu, Josep. Invariant sets in the group of isometries of a lattice-ordered group.. Stochastica, Tome 5 (1981) pp. 163-167. http://gdmltest.u-ga.fr/item/urn:eudml:doc:38966/