A Structural Property Concerning Abstract Commensurability of Subgroups
A Structural Property Concerning Abstract Commensurability of Subgroups
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关于子群抽象可通约性的结构性质
DOI：
10.1112/s0024610703004745
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发表时间：
2003
期刊：
影响因子：
--
通讯作者：
John Wilson
中科院分区：
文献类型：
--
作者：
R. Grigorchuk;John Wilson
第一作者在1980年引入的群Γ（有时称为第一Grigorchuk群）的进一步性质被建立。值得注意的是，任何两个无穷的Γ-生成子群有同构的有限指标的子群和广义字问题的Γ是可解的。
Further properties of a group Γ introduced by the first author in 1980 (sometimes called the first Grigorchuk group) are established. These are notably that any two infinite finitely generated subgroups of Γ have isomorphic subgroups of finite index and that the generalized word problem for Γ is soluble.