Let G be a group. Then a subgroup A of G is said to be modular in G if (i) \(\langle X, A \cap Z \rangle =\langle X, A \rangle \cap Z\) for all \(X \le G, Z \le G\) such that \(X \le Z\), and (ii) \(\langle A, Y \cap Z \rangle =\langle A, Y \rangle \cap Z\) for all \(Y \le G, Z \le G\) such that \(A \le Z\). We obtain a description of finite groups in which modularity is a transitive relation.

中文翻译：

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有限群，其中模数是传递关系

设G为群。那么G的子群A被称为G中的模，如果 (i) \(\langle X, A \cap Z \rangle =\langle X, A \rangle \cap Z\) 对于所有 \( X \le G, Z \le G\)使得\(X \le Z\) ，并且 (ii) \(\langle A, Y \cap Z \rangle =\langle A, Y \rangle \cap Z\) 对于所有 \(Y \ le G, Z \le G\)这样\(A \le Z\)。我们获得了有限群的描述，其中模块性是传递关系。