Mediterranean Journal of Mathematics

, Volume 2, Issue 2, pp 125–135 | Cite as

Noetherian Automorphisms of Groups

  • Fausto De Mari
  • Francesco de Giovanni
Original Paper


An automorphism α of a group G is called a noetherian automorphism if for each ascending chain
$$ X_1 < X_2 < \ldots < X_n < X_{n + 1} < \ldots $$
of subgroups of G there is a positive integer m such that \(X_n^{\alpha} = X_n \) for all n ≥ m. The structure of the group of all noetherian automorphisms of a group is investigated in this paper.

Mathematics Subject Classification (2000).

Primary 20E15 Secondary 20F28 


Power automorphism maximal condition 


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Copyright information

© Birkhäuser Verlag, Basel 2005

Authors and Affiliations

  1. 1.Dipartimento di Matematica e Applicazioni, Universitá di Napoli Federico IIComplesso Universitario Monte S. AngeloNapoliItaly

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