Hostname: page-component-7479d7b7d-767nl Total loading time: 0 Render date: 2024-07-12T03:18:51.308Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access Rights & Permissions [Opens in a new window]

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)