On the structure of periodic modules over tame algebras
Andrzej Skowronski
Faculty of Mathematics and Informatics, Nicholas Copernicus University, 
Chopina 12/18, 87-100 Torun, Poland 
Proc. Amer. Math. Soc. 127 (1999), 1941-1949.

Abstract. We describe the structure of stable tubes in the Auslander-Reiten 
quivers of tame algebras formed by indecomposable modules which do not lie 
on infinite short cycles. In particular, we prove that all algebras whose 
module categories have no infinite short cycles are of linear growth.