- 更多网络例句与有限生成群相关的网络例句 [注：此内容来源于网络，仅供参考]
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Metacyclic group, which is the expansion of a cyclic group by a cyclic group, is a special group generated by two elements.
亚循环群，即循环群被循环群的扩张，是特殊的二元生成群，Otto Hlder曾研究并给出了有限亚循环群的构造；G。
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Its main goal is to explore information relating to the large-scale geometrical structure of proper metric spaces, including noncompact complete Riemannian manifolds, finitely generated groups, etc., so as to establish connections among geometry, topology and analysis of the geometric spaces, and furthermore, to solve other important problems such as the Novikov conjecture, the Baum-Connes conjucture, the Gromov-Lawson-Rosenberg conjecture on positive scalar curvature and so on.
其主要目标是通过几何空间（如非紧完备黎曼流形、有限生成群等）大尺度几何结构的信息，建立几何空间的几何、拓扑与分析之间的联系，并应用于解决其他重要问题，如Novikov猜测、Baum-Connes猜测， Gromov-Lawson-Rosenberg正标量曲率猜测等。
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Its main goal is to explore information in the K-theory groups of the index C*-algebras, the Roe algebras C*, by using the large-scale geometrical structure of proper metric spaces, including noncompact complete Riemannian manifolds, finitely generated groups, etc., so as to establish connections among geometry, topology and analysis of the geometric spaces, and furthermore, to solve other relating problems, say, the Novikov conjecture, the Gromov-Lawson-Rosenberg conjecture on positive scalar curvature, the idempotent problem in the theory of C*-algebras.
粗几何上的指标理论是"非交换几何"领域九十年代以来发展起来的重要研究方向，它孕育于非紧流形上的指标理论，其主要目标是通过几何空间（如非紧完备黎曼流形、有限生成群等）的大尺度几何结构探索指标代数，即 Roe代数，的K-理论群的信息，从而建立几何空间的几何、拓扑与分析之间的联系，并应用于解决其他重要问题，如Novikov猜测、Gromov-Lawson-Rosenberg正标量曲率猜测、群C*-代数幂等元问题等。
- 更多网络解释与有限生成群相关的网络解释 [注：此内容来源于网络，仅供参考]
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finitely generated extension field：有限生成扩张域
finitely generated algebra 有限生成代数 | finitely generated extension field 有限生成扩张域 | finitely generated group 有限生成群
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finitely generated group：有限生成群
finitely generated extension field 有限生成扩张域 | finitely generated group 有限生成群 | finitely generated ideal 有限生成理想
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finitely generated ideal：有限生成理想
finitely generated group 有限生成群 | finitely generated ideal 有限生成理想 | finitely generated module 有限生成模
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finitely generated left ideal：有限生成左理想
finitely generated group 有限生成群 | finitely generated left ideal 有限生成左理想 | finitely generated module 有限生成模
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finitely generated left ideal：有限生成左
finitely generated free modules 有限生成自由模 | finitely generated group 有限生成群 | finitely generated left ideal 有限生成左