Geodesic
Cycles of distance-decreasing mappings in the ring of $n$-adic integers
V. I. Sushchanski1 ; E. Moćko1 ; V. V. Nekrashevych2
1 Institute of Mathematics Silesian University of Technology 44-100 Gliwice, Poland
2 Department of Mathematics Texas A&M University 3368 TAMU College Station, TX 77843-3368, U.S.A.
Colloquium Mathematicum, Tome 105 (2006) no. 2, pp. 197-205.

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We give a description of possible sets of cycle lengths for distance-decreasing maps and isometries of the ring of $n$-adic integers.
DOI : 10.4064/cm105-2-3
Keywords: description possible sets cycle lengths distance decreasing maps isometries ring n adic integers

V. I. Sushchanski 1 ; E. Moćko 1 ; V. V. Nekrashevych 2

1 Institute of Mathematics Silesian University of Technology 44-100 Gliwice, Poland
2 Department of Mathematics Texas A&M University 3368 TAMU College Station, TX 77843-3368, U.S.A. 
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V. I. Sushchanski; E. Moćko; V. V. Nekrashevych. Cycles of distance-decreasing mappings
 in the ring of $n$-adic integers. Colloquium Mathematicum, Tome 105 (2006) no. 2, pp. 197-205. doi : 10.4064/cm105-2-3. http://geodesic.mathdoc.fr/articles/10.4064/cm105-2-3/

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