Burns–Macedonska generalized Andrews–Curtis conjecture
Burns–Macedonska generalized Andrews–Curtis conjecture
Let be a finitely generated group of rank . An ordered -tuple is normally generating when its components normally generate , and its recalcitrance is the least number of M-transformations needed to reach a generating -tuple, with value infinity when no such transition exists. Burns–Macedonska generalized Andrews–Curtis conjecture. Every normally generating -tuple of 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.
Sources & referencesView supporting material
Primary source
Luc Guyot, “On Andrews-Curtis conjectures for soluble groups”, arXiv:1612.06912 (2017).
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