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Jun 20, 2019 at 5:11 comment added Joshua Grochow For groups given by matrix generators over $\mathbb{Z}$ this is certainly true, but for groups given by matrix generators over a finite field (another common setting), certainly most questions are decidable, and the question then becomes one of whether there are provably efficient algorithms and/or practical implementations.
Apr 13, 2017 at 12:58 history edited CommunityBot
replaced http://mathoverflow.net/ with https://mathoverflow.net/
Mar 29, 2012 at 15:29 history answered Igor Rivin CC BY-SA 3.0