论文标题

克莱因瓶组的口头并没有强烈关闭,尽管非常接近

The Klein bottle group is not strongly verbally closed, though awfully close to being so

论文作者

Klyachko, Anton A.

论文摘要

根据Mazhuga的定理,任何连接的表面的基本组$ h $,可能是Klein瓶,是每个有限生成的组,其中包含$ h $作为口头封闭的子组。我们证明克莱因瓶组确实是一个例外,但拥有非常接近的财产。

According to Mazhuga's theorem, the fundamental group $H$ of any connected surface, possibly except for the Klein bottle, is a retract of each finitely generated group containing $H$ as a verbally closed subgroup. We prove that the Klein bottle group is indeed an exception but has a very close property.

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