generated subgroup造句
例句與造句
- A group such that every finitely generated subgroup is finite is called order.
- originally proved a restricted form of the theorem, stating that any finitely-generated subgroup of a free group is free.
- In 1954, A . G . Howson showed that the intersection of two finitely generated subgroups of a free group is again finitely generated.
- There is a notion of "'ind-finite group "', which is the concept finitely-generated subgroup is finite.
- 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.
- It's difficult to find generated subgroup in a sentence. 用generated subgroup造句挺難的
- 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.
- 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 ).