Abstract
We give an algorithm producing from every p.d.a. M recognizing the word-problem for an infinite group G, a decomposition of G as an amalgamated product (with finite amalgamated subgroups) or as an HNN-extension (with finite associated subgroups).This algorithm has an elementary time-complexity.This result allows us to show that the isomorphism-problem for finitely generated virtually-free groups is primitive recursive, thus improving the decidability result of [Krstic,1989].
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This work has been supported by the ESPRIT Basic Research Working Group “COMPUGRAPH II” and by the PRC MathInfo
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© 1993 Springer-Verlag Berlin Heidelberg
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Sénizergues, G. (1993). An effective version of Stallings' theorem in the case of context-free groups. In: Lingas, A., Karlsson, R., Carlsson, S. (eds) Automata, Languages and Programming. ICALP 1993. Lecture Notes in Computer Science, vol 700. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-56939-1_96
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DOI: https://doi.org/10.1007/3-540-56939-1_96
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