Burns–Macedonska generalized Andrews–Curtis conjecture

Let GG be a finitely generated group of rank nn. An ordered nn-tuple is normally generating when its components normally generate GG, and its recalcitrance is the least number of M-transformations needed to reach a generating nn-tuple, with value infinity when no such transition exists. Burns–Macedonska generalized Andrews–Curtis conjecture. Every normally generating nn-tuple of GG has finite recalcitrance. This generalizes the recalcitrance formulation of the classical Andrews–Curtis conjecture from finitely generated free groups to finitely generated groups; the source presents it as a generalized conjecture associated with Burns and Macedonska.

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Primary source

Luc Guyot, “On Andrews-Curtis conjectures for soluble groups”, arXiv:1612.06912 (2017).

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