Ukrainian Mathematical Journal

, Volume 50, Issue 5, pp 842–845 | Cite as

On subgroups lifting modulo central commutant

  • V. V. Sergeichuk
Brief Communications


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.


Direct Product Cyclic Group Prime Order Direct Factor Ukrainian Academy 
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Copyright information

© Kluwer Academic/Plenum Publishers 1999

Authors and Affiliations

  • V. V. Sergeichuk
    • 1
  1. 1.Institute of MathematicsUkrainian Academy of SciencesKiev

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