The structure and topological meaning of almost-torsion free groups
作者:
Karel Dekimpe,
Paul Igodt,
期刊:
Communications in Algebra
(Taylor Available online 1994)
卷期:
Volume 22,
issue 7
页码: 2547-2558
ISSN:0092-7872
年代: 1994
DOI:10.1080/00927879408824976
出版商: Gordon and Breach Science Publishers Ltd.
数据来源: Taylor
摘要:
n this paper we present a new algebraic characterization of (almost-)crys-tallographic groups. In fact we prove that a virtually abelian (resp. nilpotent) group E is crystallographic (resp. 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 Y is almost-torsion free if and only if T is (almost-crystallographic)-by-crystallographic. Thereafter, we take a closer look at the topological properties of almost-torsion free groups.
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