On subgroups lifting modulo central commutant

• Date: 1998
• Main Authors: Sergeychuk, V. V., Сергейчук, В. В.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 1998
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/4914
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We consider a finitely generated group G with the commutant of odd order \(p_1^{n_1 } \ldots p_s^{n_s } \) located at the center and prove that there exists a decomposition of G/G′ into the direct product of indecomposable cyclic groups such that each factor except at most n l + ... + n s factor...