Generalized torsion orders and Alexander polynomials
Canadian mathematical bulletin, Tome 68 (2025) no. 2, pp. 401-420
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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.
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
@article{10_4153_S0008439524000432,
author = {Ito, Tetsuya},
title = {Generalized torsion orders and {Alexander} polynomials},
journal = {Canadian mathematical bulletin},
pages = {401--420},
year = {2025},
volume = {68},
number = {2},
doi = {10.4153/S0008439524000432},
url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439524000432/}
}
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