On subgroups lifting modulo central commutant

  • V. V. Sergeychuk

Abstract

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 factors lifts modulo commutant.
Published
25.05.1998
How to Cite
SergeychukV. V. “On Subgroups Lifting Modulo Central Commutant”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 50, no. 5, May 1998, pp. 742–745, https://umj.imath.kiev.ua/index.php/umj/article/view/4914.
Section
Short communications