On free subgroups of finite exponent in circle groups of free nilpotent algebras
Let $K$ be a commutative ring with identity and $N$ the free nilpotent $K$-algebra on a non-empty set $X$. Then $N$ is a group with respect to the circle composition. We prove that the subgroup generated by $X$ is relatively free in a suitable class of groups, depending on the choice of $K$....
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| Format: | Article |
| Language: | English |
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University of Isfahan
2019-06-01
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| Series: | International Journal of Group Theory |
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| Online Access: | http://ijgt.ui.ac.ir/article_22208_1d66e7d97c7526a72c80904843cf42a7.pdf |