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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