Inertial Automorphisms of an Abelian Group

  • Ulderico Dardano

    Università degli Studi di Napoli Federico II, Italy
  • Silvana Rinauro

    Università degli Studi della Basilicata, Potenza, Italy


An automorphisms of a group is inertial if has finite index in both and for any subgroup . We study inertial automorphisms of abelian groups and give characterization of them. In particular, if the group is periodic they have property that is bounded. We also study finitely generated groups of inertial automorphisms.

Cite this article

Ulderico Dardano, Silvana Rinauro, Inertial Automorphisms of an Abelian Group. Rend. Sem. Mat. Univ. Padova 127 (2012), pp. 213–233

DOI 10.4171/RSMUP/127-11