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Journal of Algebra
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Journal of Algebra
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On the outer automorphism groups of free groups

On the outer automorphism groups of free groups.
Authors: Tolstykh, Vladimir;

On the outer automorphism groups of free groups

Abstract

We prove that the outer automorphism group of a free group of countably infinite rank is complete.

Preprint version

Country
Turkey
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Keywords

Automorphisms, 330, Free nonabelian groups, complete groups: small index property, Group Theory (math.GR), Free Groups, 510, Automorphisms of infinite groups, extremal involutions, Small Index Property, FOS: Mathematics, outer automorphism groups, Automorphism groups of groups, 20F28 (20E05), free groups, Mathematics - Group Theory, outer automorphisms

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
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