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.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
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)).
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