Treffer: A Mathematica Notebook for Computing the Homology of Iterated Products of Groups

Title:
A Mathematica Notebook for Computing the Homology of Iterated Products of Groups
Contributors:
Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII)
Publication Year:
2015
Collection:
idUS - Deposito de Investigación Universidad de Sevilla
Document Type:
Buch book part
Language:
English
Relation:
Mathematical Software - ICMS 2006, Lecture Notes in Computer Science, Vol. 4151, p. 47-57; https://idus.us.es/handle/11441/31614
Rights:
Atribución-NoComercial-CompartirIgual 4.0 Internacional ; http://creativecommons.org/licenses/by-nc-sa/4.0/ ; info:eu-repo/semantics/openAccess
Accession Number:
edsbas.9F4FA04C
Database:
BASE

Weitere Informationen

Let G be a group which admits the structure of an iterated product of central extensions and semidirect products of abelian groups G i (both finite and infinite). We describe a Mathematica 4.0 notebook for computing the homology of G, in terms of some homological models for the factor groups G i and the products involved. Computational results provided by our program have allowed the simplification of some of the formulae involved in the calculation of H n (G). Consequently the efficiency of the method has been improved as well. We include some executions and examples.