论文标题
一个无限生成的残留群体的无数家族
An Uncountable Family of Finitely Generated Residually Finite Groups
论文作者
论文摘要
我们研究一个有限生成的残留群体的家族。这些组是双打$ f_2*_h f_2 $ 2 $ 2 $免费组$ f_2 $,沿无限生成的子组$ h $。不同的$ h $产生的无数群体都达到同构。
We study a family of finitely generated residually finite groups. These groups are doubles $F_2*_H F_2$ of a rank-$2$ free group $F_2$ along an infinitely generated subgroup $H$. Varying $H$ yields uncountably many groups up to isomorphism.