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arXiv · 2310.02577

Generalized torsion orders of generalized torsion elements

Tetsuya Ito
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Abstract

A non-trivial element of a group is a generalized torsion element if some products of its conjugates is the identity. The minimum number of such conjugates is called a generalized torsion order. We provide several restrictions for generalized torsion orders by using $G$-invariant norm and Alexander polynomials.

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Tetsuya Ito. 2023-10-04. Generalized torsion orders of generalized torsion elements. https://doi.org/10.4153/s0008439524000432

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