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.
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References
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O. O. Mazurok, “Groups with elementary Abelian commutant of at most p 2 th order,” Ukr. Mat. Zh., 50, No. 4, 534–539 (1998).
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 50, No. 5, pp. 742–745, May, 1998.
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Sergeichuk, V.V. On subgroups lifting modulo central commutant. Ukr Math J 50, 842–845 (1998). https://doi.org/10.1007/BF02514338
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DOI: https://doi.org/10.1007/BF02514338