论文标题
排名第二的自由组的均衡器猜想
The equalizer conjecture for the free group of rank two
论文作者
论文摘要
如果$ s $包含一个注射映射，则一组同构$ s：f（a，b）\ rightArrow f（δ）$的均衡器最多排名，否则不是有限生成的。这证明了Stallings对第二等级的自由群体的均衡猜想的强烈形式。 当图像被插入或缩回，$ f（δ）$时，还可以获得成对的同构$ g，h：f（σ）\ rightarrow f（δ）$的结果。
The equaliser of a set of homomorphisms $S: F(a, b)\rightarrow F(Δ)$ has rank at most two if $S$ contains an injective map, and is not finitely generated otherwise. This proves a strong form of Stallings' Equaliser Conjecture for the free group of rank two. Results are also obtained for pairs of homomorphisms $g, h:F(Σ)\rightarrow F(Δ)$ when the images are inert in, or retracts of, $F(Δ)$.
