Subgroups defining automorphisms in locally nilpotent groups
Giovanni Cutolo, Chiara Nicotera
Abstract
We investigate some situation in which automorphisms of a group G are uniquely determined by their restrictions to a proper subgroup H. Much of the paper is devoted to studying under which additional hypotheses this property forces G to be nilpotent if H is. As an application we prove that certain countably infinite locally nilpotent groups have uncountably many (outer) automorphisms.
Create a lesson
Related papers
Property R∞ for Artin and Coxeter groups whose outer automorphisms are length-preserving
Ignat Soroko
DL, DQ Spectrum and Eigenvalue-free Interval of Cayley Graphs over Finite Nilpotent Groups
Pallabi Manna, Santanu Mandal
On p-groups with one nonlinear codegree
Jiwei Zheng, Heng Lv
Classes of Subgroups of a finite group with isomorphic quotient groups
Tushar Halder, Sachin Ballal
Cohomology and multiplicative gaps for quasi-isometries of nilpotent groups
Mayukh Mukherjee, Soumyadeb Samanta, Soumyadip Thandar
On the number of conjugacy classes of finite solvable groups of order divisible by p2
Thomas Michael Keller