论文标题
不变的生成不会传递到有限索引子组
Invariable generation does not pass to finite index subgroups
论文作者
论文摘要
使用小型取消方法，我们表明属性不变的生成不会传递到有限的索引子组，回答了Wiegold和Kantor-Lubotzky-Shalev的问题。我们进一步表明，生成的有限生成的组并不一定是有限生成的，回答了Cox的问题。 Minasyan也独立地获得了相同的结果。
Using small cancellation methods, we show that the property invariable generation does not pass to finite index subgroups, answering questions of Wiegold and Kantor-Lubotzky-Shalev. We further show that a finitely generated group that is invariably generated is not necessarily finitely invariably generated, answering a question of Cox. The same results were also obtained independently by Minasyan.
