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arxiv: math/0411027 · v1 · submitted 2004-11-01 · 🧮 math.GR

Relative Dehn functions of amalgamated products and HNN--extensions

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keywords amalgamateddehnfunctionshnn--extensionsproductsrelativeboundcertain
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We obtain an upper bound for relative Dehn functions of amalgamated products and HNN--extensions with respect to certain collections of subgroups. Our main results generalize the combination theorems for relatively hyperbolic groups proved by Dahmani.

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