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arxiv: 0809.3109 · v1 · submitted 2008-09-18 · 🧮 math.GT · math.GR

Algebraic and Geometric intersection numbers for free groups

classification 🧮 math.GT math.GR
keywords intersectionalgebraicfreegeometricgroupsnumbercoincidescomplex
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We show that the algebraic intersection number of Scott and Swarup for splittings of free groups coincides with the geometric intersection number for the sphere complex of the connected sum of copies of $S^2\times S^1$.

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