Artinian automorphisms of infinite groups
Bollettino dell'Unione Matematica Italiana (2006)
- Volume: 9-B, Issue: 3, page 575-582
- ISSN: 0392-4041
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topLeone, Antonella. "Artinian automorphisms of infinite groups." Bollettino dell'Unione Matematica Italiana 9-B.3 (2006): 575-582. <http://eudml.org/doc/289638>.
@article{Leone2006,
abstract = {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 $G$.},
author = {Leone, Antonella},
journal = {Bollettino dell'Unione Matematica Italiana},
language = {eng},
month = {10},
number = {3},
pages = {575-582},
publisher = {Unione Matematica Italiana},
title = {Artinian automorphisms of infinite groups},
url = {http://eudml.org/doc/289638},
volume = {9-B},
year = {2006},
}
TY - JOUR
AU - Leone, Antonella
TI - Artinian automorphisms of infinite groups
JO - Bollettino dell'Unione Matematica Italiana
DA - 2006/10//
PB - Unione Matematica Italiana
VL - 9-B
IS - 3
SP - 575
EP - 582
AB - 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 $G$.
LA - eng
UR - http://eudml.org/doc/289638
ER -
References
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