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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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Autore principale: Juliane Hansmann
Natura: Artigo
Lingua:Inglês
Pubblicazione: University of Isfahan 2019-06-01
Serie:International Journal of Group Theory
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Accesso online:http://ijgt.ui.ac.ir/article_22208_1d66e7d97c7526a72c80904843cf42a7.pdf
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