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More about the geometric invariants [sum ]m(G) and [sum ]m(G, ℤ) for groups with normal locally polycyclic-by-finite subgroups

Published online by Cambridge University Press:  26 March 2001

DESSISLAVA H. KOCHLOUKOVA
DESSISLAVA H. KOCHLOUKOVA
Affiliation:
IMECC, UNICAMP, G.P. 6065 13083-970 Campinas SP, Brasil
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Abstract

The main result of the paper is that the real characters of a group G of type FPm (Fm respectively) that do not vanish on a normal locally polycyclic-by-finite subgroup represent elements of the geometric invariant [sum ]m(G, ℤ) ([sum ]m(G) respectively). In the case m = 2 a stronger result is proved. Some consequences of the main result are considered.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 130 , Issue 2 , March 2001 , pp. 295 - 306
Copyright
2001 Cambridge Philosophical Society

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