Complete outer automorphism groups of free nilpotent groups

2025/05/19 by Tolstykh, Vladimir A.
#20F18 #20F28 #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.2505.12918

Abstract

We prove that the outer automorphism group Out(N) of an infinitely generated free nilpotent group N of class two is complete.

Citations

• On the outer automorphism groups of free groups
• The small index property for free nilpotent groups
• Small conjugacy classes in the automorphism groups of relatively free groups
• What does the automorphism group of a free abelian group A know about A?
• On the Automorphism Tower of Free Nilpotent Groups
• Free two-step nilpotent groups whose automorphism group is complete
• The automorphism tower of a free group

Related

• Free two-step nilpotent groups whose automorphism group is complete
• On the outer automorphism groups of free groups
• Small conjugacy classes in the automorphism groups of relatively free groups
• On the logical strength of the automorphism groups of free nilpotent groups
• The automorphism tower of a free group