Free products of groups are strongly verbally closed
Free products of groups are strongly verbally closed
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团体的免费产品被强烈口头封闭
DOI：
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发表时间：
2018
期刊：
影响因子：
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通讯作者：
A. M. Mazhuga
中科院分区：
文献类型：
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作者：
A. M. Mazhuga
在最近的一些论文中，人们已经确定了许多几乎自由群、几乎所有连通曲面的基本群以及所有具有恒等式的群的非平凡自由积群在任何一个口头封闭的群中都是代数封闭的。在本文中，我们建立了任何一个群的非平凡自由积群是代数封闭的任何群，它是口头封闭的。书目：13种。
In a number of recent papers it was established that many almost free groups, fundamental groups of almost all connected surfaces, and all groups that are nontrivial free products of groups with identities are algebraically closed in any group in which they are verbally closed. In the present paper we establish that any group that is a nontrivial free product of groups is algebraically closed in any group in which it is verbally closed. Bibliography: 13 titles.