3 papers
math.GR2025
Principal congruence subgroups in the infinite rank case
Vladimir A. Tolstykh
We obtain a number of analogues of the classical results of the 1960s on the general linear groups and special linear groups f…
math.GR2025
On the outer automorphism groups of free groups
Vladimir A. Tolstykh
We prove that the outer automorphism group of a free group of countably infinite rank is complete.
math.GR2025
Complete outer automorphism groups of free nilpotent groups
Vladimir A. Tolstykh
We prove that the outer automorphism group of an infinitely generated free nilpotent group of class two is complete.