An automorphism alpha of a group G is called an artinian automorphism if for every strictly descending chain H_1 > H_2 > … > H_n > ... of subgroups of G there exists a positive integer m such that (H_n)^alpha = H_n for every n>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.
Artinian automorphisms of infinite groups / Leone, Antonella. - In: BOLLETTINO DELL'UNIONE MATEMATICA ITALIANA. B. - ISSN 0392-4041. - STAMPA. - (8) 9:3(2006), pp. 575-582.
Artinian automorphisms of infinite groups
LEONE, ANTONELLA
2006
Abstract
An automorphism alpha of a group G is called an artinian automorphism if for every strictly descending chain H_1 > H_2 > … > H_n > ... of subgroups of G there exists a positive integer m such that (H_n)^alpha = H_n for every n>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.File in questo prodotto:
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