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Geometry / Geometric group theory / Mathematics / Group theory / Combinatorics on words / Geometric topology / Metric geometry / Dehn function / Quasi-isometry / Ultralimit / Presentation of a group / Finitely generated abelian group
Date: 2012-03-03 14:33:06
Geometry
Geometric group theory
Mathematics
Group theory
Combinatorics on words
Geometric topology
Metric geometry
Dehn function
Quasi-isometry
Ultralimit
Presentation of a group
Finitely generated abelian group

DEHN FUNCTION AND ASYMPTOTIC CONES OF ABELS’ GROUP YVES CORNULIER, ROMAIN TESSERA Abstract. We prove that Abels’ group over an arbitrary local field has a quadratic Dehn function. As applications, we exhibit connecte

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