We give a description of possible sets of cycle lengths for distance-decreasing maps and isometries of the ring of n-adic integers.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm105-2-3, author = {V. I. Sushchanski and E. Mo\'cko and V. V. Nekrashevych}, title = {Cycles of distance-decreasing mappings in the ring of n-adic integers}, journal = {Colloquium Mathematicae}, volume = {106}, year = {2006}, pages = {197-205}, zbl = {1095.13030}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm105-2-3} }
V. I. Sushchanski; E. Moćko; V. V. Nekrashevych. Cycles of distance-decreasing mappings in the ring of n-adic integers. Colloquium Mathematicae, Tome 106 (2006) pp. 197-205. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm105-2-3/