On some examples of duality groups

. In [1, 3] it was shown: Theorem A. If G is the fundamental group of a finite graph of λ-dimensional duality groups with | G o ( e ) : G e | < ∞ and | G τ ( e ) : G e | < ∞ for every edge e of the corresponding G -tree, then G is an (λ + 1)-dimensional duality group. Here we use the methods o...

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Bibliographic Details
Published in:Archiv der Mathematik 2008-04, Vol.90 (4), p.304-310
Main Authors: Dembegioti, Fotini, Talelli, Olympia
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
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Summary:. In [1, 3] it was shown: Theorem A. If G is the fundamental group of a finite graph of λ-dimensional duality groups with | G o ( e ) : G e | < ∞ and | G τ ( e ) : G e | < ∞ for every edge e of the corresponding G -tree, then G is an (λ + 1)-dimensional duality group. Here we use the methods of Brown and Geoghegan in [3] to obtain examples of duality groups under weaker conditions than those of Theorem A.
ISSN:0003-889X
1420-8938
DOI:10.1007/s00013-007-2479-6