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generalized torsion order

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1 results

Generalized torsion orders and Alexander polynomials
Part of
- Special aspects of infinite or finite groups
Tetsuya Ito
Journal:

Canadian Mathematical Bulletin , First View

Published online by Cambridge University Press:

08 January 2025, pp. 1-20
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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.

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