Width of verbal subgroups of the group $UT_n (\mathbb{Z})$ generated by words $x^k, k ∈ \mathbb{N}$
Kovdrysh Volodymyr Volodymyrovych
1
1 Institute of Postgraduate Pedagogical Education of Chernivtsi Region, Chernivtsi, 58000, Ukraine
Keywords:
verbal subgroups of the group $UT_n (\mathbb{Z})$
Abstract
The width of the verbal subgroups of $UT_n (\mathbb{Z})$ generated by the words $x^k, k ∈ \mathbb{N}$ is found.
References
[1] Kargapolov M.I., Merzlyakov Yu.I. Fundamentals of group theory. - M.: Nauka, 1977. - 238 p.
[2] Merzlyakov Yu.I. Algebraic linear groups as full groups of automorphisms and the closure of their verbal subgroups // Algebra and Logic. - 1967. - V.6, № 1. - P.83-94.
[3] Merzlyakov Yu.I. Rational groups. - M.: Nauka, 1987. - 326 p.
[4] Neumann H. Varieties of groups. - M.: Mir, 1971. - 452 p.
[5] Kovdrysh V.V. Widths of the members of the lower central row of the group of upper unitriangular matrices over a commutative ring with unity / / Scientific Bulletin of Chernivtsi University. - 2006. - Issue 314-315. - P. 91-93.
Cite
- ACS Style
- Kovdrysh, V.V. Width of verbal subgroups of the group $UT_n (\mathbb{Z})$ generated by words $x^k, k ∈ \mathbb{N}$. Bukovinian Mathematical Journal. 2018, 1
- AMA Style
- Kovdrysh VV. Width of verbal subgroups of the group $UT_n (\mathbb{Z})$ generated by words $x^k, k ∈ \mathbb{N}$. Bukovinian Mathematical Journal. 2018; 1(349).
- Chicago/Turabian Style
- Volodymyr Volodymyrovych Kovdrysh. 2018. "Width of verbal subgroups of the group $UT_n (\mathbb{Z})$ generated by words $x^k, k ∈ \mathbb{N}$". Bukovinian Mathematical Journal. 1 no. 349.
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