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The residual finiteness of negatively curved polygons of finite groups
Authors:Daniel T Wise
Institution:(1) Department of Mathematics, UC Berkeley, Berkeley, CA 94720, USA, US
Abstract:A subgroup MG is almost malnormal provided that for each gGM, 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
Keywords:Mathematical Subject Classification (2000): 20E05  20E06  20E26  20F32
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