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Systems of generating metavariable groups of finite rank
Zavodya M. V. 1 , Sikora Vira Stepanivna 2 , Sushchanskyy Vitaliy Ivanovych 3
1 Taras Shevchenko National University of Kyiv, Kyiv, 01033, Ukraine
2 Department of Algebra and Informatics, Yuriy Fedkovych Chernivtsi National University, Chernivtsi, 58000, Ukraine
3 Silesian University of Technology, Hilwice, 44-100 , Poland
Keywords: metavariable groups, rank
Abstract

The irreducible generators systems are constructed for n-iterated wreast product of finite alternating groups of the order ≥7" role="presentation" style="box-sizing: border-box; display: inline-block; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 16.94px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;">, which consist of 4 transformations. It is obtained that such s-element generators systems exists for arbitrary s, 4≤s≤2n" role="presentation" style="box-sizing: border-box; display: inline-block; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 16.94px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;">.

Cite
ACS Style
Zavodya, M.V.; Sikora, V.S.; Sushchanskyy, V.I. Systems of generating metavariable groups of finite rank. Bukovinian Mathematical Journal. 2018, 1
AMA Style
Zavodya MV, Sikora VS, Sushchanskyy VI. Systems of generating metavariable groups of finite rank. Bukovinian Mathematical Journal. 2018; 1(314).
Chicago/Turabian Style
M. V. Zavodya, Vira Stepanivna Sikora, Vitaliy Ivanovych Sushchanskyy. 2018. "Systems of generating metavariable groups of finite rank". Bukovinian Mathematical Journal. 1 no. 314.
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