Algorithm solves word problem for 3-manifold groups.
problem Word problem in 3-manifold groups.
method Algorithmic approach using finite state automata and group properties.
result Fundamental groups of 3-manifolds are autostackable.
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Algorithm solves word problem for 3-manifold groups.
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Autostackability for finitely generated groups is defined via a topological property of the associated Cayley graph which can be encoded in a finite state automaton. Autostackable groups have solvable word problem and an effective inductive procedure for constructing van Kampen diagrams with respect to a canonical fini…
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