torsion subgroup


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torsion subgroup

[¦tȯr·shən ′səb‚grüp]
(mathematics)
The torsion subgroup of an Abelian group G is the subset of all torsion elements of G.
References in periodicals archive ?
Since the torsion subgroup is Z/4Z, there are two choices for each [W.sub.i].
The [i.sup.th] reduced Betti number is [[??].sub.i]([SIGMA]) = dim [H.sub.i]([SIGMA]; Q), and the [i.sup.th] torsion coefficient [t.sub.i]([SIGMA]) is the cardinality of the torsion subgroup T([[??].sub.i]([SIGMA]; Z)).
We write [U.sub.n,s] for the group of S-units of N, [[mu].sub.n] for the torsion subgroup of [U.sub.n,s], and [U.sub.n,s] for the torsion free quotient [U.sub.n,s].