We prove that for every \(n>2\) there exists an o-group G of finite Archimedean rank n such that G cannot be embedded in a divisible o-group of Archimedean rank n, and also prove that G can be embedded in an o-group of finite Archimedean rank greater than n.

中文翻译：

---

有限阿基米德等级的O群的嵌入

我们证明对于每个\（n> 2 \）都有一个有限阿基米德秩为n的o-群G，使得G不能嵌入到阿基米德秩为n的一个可整除的o-群中，并且证明G可以嵌入于大于n的有限阿基米德等级的o组。