Actor of a Precrossed Module |
| |
| Authors: | José Manuel Casas Tamar Datuashvili Manuel Ladra |
| |
| Institution: | 1. Departamento de Matemática Aplicada I , Universidad de Vigo , Pontevedra, Spain jmcasas@uvigo.es;3. A. Razmadze Mathematics Institute , Tbilisi, Georgia;4. Departamento de álgebra , Universidad de Santiago , Santiago, Spain |
| |
| Abstract: | Applying the equivalence of the category of precrossed modules with the category of groups with two additional unary operations satisfying the corresponding conditions, the construction of an actor is given in terms of Whitehead group of generalized regular derivations, defined in the article, and the automorphism group of a precrossed module. The analogous approach to this problem in the case of crossed modules leads to the well-known construction given in the works of Lue and Norrie. |
| |
| Keywords: | Action Generalized Whitehead product of derivations Group (Pre)Crossed module Whitehead group of generalized regular derivations Whitehead product of derivations |
|
|
