The residual finiteness of negatively curved polygons of finite groups |
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Authors: | Daniel T Wise |
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Institution: | (1) Department of Mathematics, UC Berkeley, Berkeley, CA 94720, USA, US |
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Abstract: | A subgroup M⊂G is almost malnormal provided that for each g∈G−M, the intersection M
g
∩M is finite. It is proven that the free product of two virtually free groups amalgamating a finitely generated almost malnormal
subgroup, is residually finite. A consequence of a generalization of this result is that an acute-angled n-gon of finite groups is residually finite if n≥4. Another consequence is that if G acts properly discontinuously and cocompactly on a 2-dimensional hyperbolic building whose chambers have acute angles and
at least 4 sides, then G is residually finite.
Oblatum 17-VII-2000 & 13-II-2002?Published online: 29 April 2002 |
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Keywords: | Mathematical Subject Classification (2000): 20E05 20E06 20E26 20F32 |
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