Geodesic
Artinian automorphisms of infinite groups
Bollettino della Unione matematica italiana, Série 8, 9B (2006) no. 3, pp. 575-582

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

An automorphism a of a group G is called an artinian automorphism if for every strictly descending chain $H_1 > H_2 > \cdots > H_n > \cdots$ of subgroups of G there exists a positive integer $m$ such that $(H_n)^a = H_n$ for every $n \geq m$. In this paper we show that in many cases the group of all artinian automorphisms of $G$ coincides with the group of all power automorphisms of $G$. 
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     author = {Leone, Antonella},
     title = {Artinian automorphisms of infinite groups},
     journal = {Bollettino della Unione matematica italiana},
     pages = {575--582},
     publisher = {mathdoc},
     volume = {Ser. 8, 9B},
     number = {3},
     year = {2006},
     zbl = {1119.20043},
     mrnumber = {2274113},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BUMI_2006_8_9B_3_a3/}
}
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Leone, Antonella. Artinian automorphisms of infinite groups. Bollettino della Unione matematica italiana, Série 8, 9B (2006) no. 3, pp. 575-582. http://geodesic.mathdoc.fr/item/BUMI_2006_8_9B_3_a3/