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Intrinsic tame filling functions are quasi-isometry invariants that arerefinements of the intrinsic diameter function of a group. The main purpose ofthis paper is to show that every finite presentation of a group has anintrinsic tame filling function that is equivalent to its intrinsic diameterfunction. We also introduce some alternative filling functions--based onconcepts similar to those used to define intrinsic tame filling functions--thatare potential proper refinements of the intrinsic diameter function.

Intrinsic tame filling functions are equivalent to intrinsic diameter functions