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单词 Rank (Group)
释义

Rank (Group)

For an arbitrary finitely generated Abelian Group , the rank of is defined to be the rank of the Freegenerating Subset modulo its Torsion Subgroup. For a finitely generatedGroup, the rank is defined to be the rank of its ``Abelianization.''

See also Abelian Group, Betti Number, Burnside Problem, Quasithin Theorem, Quasi-UnipotentGroup, Torsion (Group Theory)
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更新时间:2024/11/15 2:28:35