Let H be a locally transitive local group. We characterize the maximal chain sets for a family F of subsets of H as intersections of control sets for certain shadowing semigroups.
@article{7511, title = {Maximal chain transitive sets for local groups - doi: 10.5269/bspm.v21i1-2.7511}, journal = {Boletim da Sociedade Paranaense de Matem\'atica}, volume = {23}, year = {2009}, doi = {10.5269/bspm.v21i1-2.7511}, language = {EN}, url = {http://dml.mathdoc.fr/item/7511} }
Barros, Carlos José Braga; San Martin, Luiz A. B. Maximal chain transitive sets for local groups - doi: 10.5269/bspm.v21i1-2.7511. Boletim da Sociedade Paranaense de Matemática, Tome 23 (2009) . doi : 10.5269/bspm.v21i1-2.7511. http://gdmltest.u-ga.fr/item/7511/