noun
torsion
The property of an algebraic element having finite order.
Every element of a finite group is a torsion element.
Etymology
The ordinary mathematical term comes from twisting. Abstract algebra extended it to finite-order behavior, retaining a historical technical name rather than a literal physical twist.
More examples
- The additive group of integers has no nonzero torsion elements.
- In an abelian group, the torsion elements form a subgroup.
- An infinite group can still contain nonidentity torsion elements.
Forms
torsion