We describe algorithms to determine extensions of infinite polycyclic groups
having certain properties. In particular, we are interested in torsion-free
extensions and extensions whose Fitting subgroup has a minimal centre. Then
we apply these methods in topological applications. We discuss the calculation
of Betti numbers for compact manifolds, and we describe algorithmic approaches
in classifying almost Bieberbach groups.
Publié le : 2002-05-14
Classification:
Almost crystallographic groups,
algorithms for polycyclic groups,
torsion-free extensions,
Betti numbers,
20-04,
20F16,
57-04,
57M05,
57M07
@article{1062621214,
author = {Dekimpe, Karel and Eick, Bettina},
title = {Computational aspects of group extensions and their applications in topology},
journal = {Experiment. Math.},
volume = {11},
number = {3},
year = {2002},
pages = { 183-200},
language = {en},
url = {http://dml.mathdoc.fr/item/1062621214}
}
Dekimpe, Karel; Eick, Bettina. Computational aspects of group extensions and their applications in topology. Experiment. Math., Tome 11 (2002) no. 3, pp. 183-200. http://gdmltest.u-ga.fr/item/1062621214/