3 citations · 3 across the 3 of their papers we have counts for
4 papers · 1 filter
Automorphisms fixing every normal subgroup of a nilpotent-by-abelian group
G. Endimioni
Among other things, we prove that the group of automorphisms fixing every normal subgroup of a nilpotent-by-abelian group is nilpotent-by-metabelian. In particular, the group of au…
On the polynomial automorphisms of a group
G. Endimioni
We prove that if a group is nilpotent (resp. metabelian), then so is the subgroup of its automorphism group generated by all polynomial automorphisms.
On the Group of Polynomial Functions in a Group
G. Endimioni
In this paper, we study connections between the structure of a group and the structure of the group (under pointwise product) of its polynomial functions.
Normal automorphisms of a free metabelian nilpotent group
G. Endimioni
An automorphism of a group is said to be normal if it preserves each normal subgroup. In this paper, we determine the normal automorphisms of a free metabelian nilpotent group.