Generalized torsion orders and Alexander polynomials
Canadian mathematical bulletin, Tome 68 (2025) no. 2, pp. 401-420

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DOI

A nontrivial 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 the Alexander polynomial.
DOI : 10.4153/S0008439524000432
Mots-clés : Generalized torsion element, generalized torsion order, Alexander polynomial, G-invariant norm
Ito, Tetsuya. Generalized torsion orders and Alexander polynomials. Canadian mathematical bulletin, Tome 68 (2025) no. 2, pp. 401-420. doi: 10.4153/S0008439524000432
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     title = {Generalized torsion orders and {Alexander} polynomials},
     journal = {Canadian mathematical bulletin},
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     year = {2025},
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     doi = {10.4153/S0008439524000432},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439524000432/}
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