On some examples of duality groups |
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Authors: | Fotini Dembegioti Olympia Talelli |
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Institution: | (1) Department of Mathematics, University of Athens, Athens, 15784, Greece |
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Abstract: | 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.
Received: 5 June 2007 |
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Keywords: | 20J05 20F32 |
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