Title: The structure and topological meaning of almost torsion-free groups
Authors: Dekimpe, Karel * ×
Igodt, Paul G. * #
Issue Date: 1994
Publisher: Marcel dekker inc
Series Title: Communications in algebra vol:22 issue:7 pages:2547-2558
Abstract: In this paper we pre-sent a new algebraic characterization of (almost-)crystallographic groups. In fact we prove that a virtually abelian (resp. nilpotent) group E is crystallographic (re-sp. almost-crystallographic) if and only if E has no finite normal subgroups. Thereafter, we investigate more general groups sharing this property and refer to them as the almost-torsion free groups. We show that a virtually polycyclic group GAMMA is almost-torsion free if and only if GAMMA is (almost-crystallographic)-by-crystallographic. Thereafter, we take a closer look at the topological properties of almost-torsion free groups.
ISSN: 0092-7872
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Mathematics, Campus Kulak Kortrijk
* (joint) first author
× corresponding author
# (joint) last author

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