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A simple undecidable problem for free groups




TekijätHarju Tero

KustantajaElsevier

Julkaisuvuosi2024

JournalTheoretical Computer Science

Tietokannassa oleva lehden nimiTheoretical Computer Science

Artikkelin numero114629

Vuosikerta1003

ISSN0304-3975

eISSN1879-2294

DOIhttps://doi.org/10.1016/j.tcs.2024.114629

Verkko-osoitehttps://doi.org/10.1016/j.tcs.2024.114629

Rinnakkaistallenteen osoitehttps://research.utu.fi/converis/portal/detail/Publication/404690265


Tiivistelmä
Let Fn denote the free group on n generators. It is shown to be undecidable for two morphisms g,h:Fn→F2 and a generator element a of F2, whether or not there exists an element w∈Fn such that g(w)=a and h(w)=1, where 1 is the identity element.

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Last updated on 2024-26-11 at 11:53