The Equalizer Conjecture For The Free Group of Rank Two

نویسندگان

چکیده

Abstract The equalizer of a set homomorphisms $S: F(a, b)\rightarrow F(\Delta)$ has rank at most two if S contains an injective map and is not finitely generated otherwise. This proves strong form Stallings’ Equalizer Conjecture for the free group two. Results are also obtained pairs $g, h:F(\Sigma)\rightarrow when images inert in, or retracts of, $F(\Delta)$.

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ژورنال

عنوان ژورنال: Quarterly Journal of Mathematics

سال: 2021

ISSN: ['0033-5606', '1464-3847']

DOI: https://doi.org/10.1093/qmath/haab059