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The equation \(s=(x^ 2y^ 2)^ 3y^ 2\) is solvable in the symmetric group on Z - MaRDI portal

The equation \(s=(x^ 2y^ 2)^ 3y^ 2\) is solvable in the symmetric group on Z (Q1066257)

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scientific article; zbMATH DE number 3925072
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English
The equation \(s=(x^ 2y^ 2)^ 3y^ 2\) is solvable in the symmetric group on Z
scientific article; zbMATH DE number 3925072

    Statements

    The equation \(s=(x^ 2y^ 2)^ 3y^ 2\) is solvable in the symmetric group on Z (English)
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    1986
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    The main purpose of this paper is to give a solution for the equation \(s=(x^ 2y^ 2)^ 3y^ 2\) in the symmetric group on the set Z of all integers, where s denotes the successor permutation \(i\mapsto i+1\) of Z.
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    equations in groups
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    primitive words
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    symmetric group
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    successor permutation
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