Skip to main content
added 33 characters in body
Source Link
Qayum Khan
  • 687
  • 5
  • 13

Let $V$ be a virtually cyclic group. Then is $Aut(V)$ also a virtually cyclic group?

This is true when $V$ is a finite, infinite cyclic, or infinite dihedral group (zero-ended) and when $V = C_\infty, D_\infty$ (both two-ended).

Let $V$ be a virtually cyclic group. Then is $Aut(V)$ also a virtually cyclic group?

This is true when $V$ is finite, infinite cyclic, or infinite dihedral.

Let $V$ be a virtually cyclic group. Then is $Aut(V)$ also a virtually cyclic group?

This is true when $V$ is a finite group (zero-ended) and when $V = C_\infty, D_\infty$ (both two-ended).

edited tags
Link
Stephen S
  • 981
  • 1
  • 10
  • 10
Source Link
Qayum Khan
  • 687
  • 5
  • 13

Automorphism groups of virtually cyclic groups

Let $V$ be a virtually cyclic group. Then is $Aut(V)$ also a virtually cyclic group?

This is true when $V$ is finite, infinite cyclic, or infinite dihedral.