Advertisement

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
  • 44 Downloads

Abstract.

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 

Keywords.

Power automorphism maximal condition 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

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

Personalised recommendations