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generated subgroup造句

"generated subgroup"是什么意思   

例句與造句

  1. A group such that every finitely generated subgroup is finite is called order.
  2. originally proved a restricted form of the theorem, stating that any finitely-generated subgroup of a free group is free.
  3. In 1954, A . G . Howson showed that the intersection of two finitely generated subgroups of a free group is again finitely generated.
  4. There is a notion of "'ind-finite group "', which is the concept finitely-generated subgroup is finite.
  5. Furthermore, if m and n are the numbers of generators of the two finitely generated subgroups then their intersection is generated by at most 2mn-m-n + 1 generators.
  6. It's difficult to find generated subgroup in a sentence. 用generated subgroup造句挺難的
  7. On the other hand, it is an easy theorem that every finitely generated subgroup of a finitely presented group is recursively presented, so the recursively presented finitely generated groups are ( up to isomorphism ) exactly the subgroups of finitely presented groups.
  8. As a corollary, there is a "'universal finitely presented group "'that contains " all " finitely presented groups as subgroups ( up to isomorphism ); in fact, its finitely generated subgroups are exactly the finitely generated recursively presented groups ( again, up to isomorphism ).

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