On the outer automorphism groups of free groups

2025/05/19 by Tolstykh, Vladimir A. · 1 citation
#20F28 (20E05) #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.2505.12922

Abstract

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

Citations

• The small index property for free nilpotent groups
• Small conjugacy classes in the automorphism groups of relatively free groups
• The automorphism tower of a free group

Cited by

• Complete outer automorphism groups of free nilpotent groups

Related

• Complete outer automorphism groups of free nilpotent groups
• The automorphism tower of a free group
• Free two-step nilpotent groups whose automorphism group is complete
• Explicit computation of the index of a positive outer automorphism of the free group
• The automorphism groups of relatively free groups of infinite rank