A torsion coset in an abelian variety 
is a translate 
of an abelian subvariety 
by a torsion point 
. The translating point has finite
order in the group 
.
For 
, a torsion coset is a single torsion point. An arbitrary translate by a nontorsion
point need not be a torsion coset.
Torsion cosets are the special subvarieties in the abelian formulation of the Zilber-Pink conjecture. Every irreducible subvariety has a unique smallest torsion coset containing it.
