Abelianization of space groups
Acta Crystallographica Section A: Foundations of Crystallography
, Volume 65 (1): 18 – Nov 18, 2008
Abstract
The abelianization of a group is its commutator quotient group. In this paper, we provide tables of the abelianizations of all the n-dimensional space groups for n = 1, 2, 3. We prove that the exponent of the torsion subgroup of the abelianization of an arbitrary n-dimensional space group divides the order of the point group of .
