# 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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