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The rank of the factor-group modulo the hypercenter and the rank of the some hypocenter of a group

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Central European Journal of Mathematics

Abstract

We compare the special rank of the factors of the upper central series and terms of the lower central series of a group. As a consequence we are able to show some generalizations of a theorem of Reinhold Baer.

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Authors and Affiliations

  1. Department of Algebra, National University of Dnepropetrovsk, 72 Gagarin Av., 49010, Dnepropetrovsk, Ukraine

    Leonid A. Kurdachenko

  2. Department of Mathematics — IUMA, University of Zaragoza, Pedro Cerbuna 12, 50009, Zaragoza, Spain

    Javier Otal

Authors
  1. Leonid A. Kurdachenko
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  2. Javier Otal
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Correspondence to Leonid A. Kurdachenko.

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Kurdachenko, L.A., Otal, J. The rank of the factor-group modulo the hypercenter and the rank of the some hypocenter of a group. centr.eur.j.math. 11, 1732–1741 (2013). https://doi.org/10.2478/s11533-013-0284-y

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  • DOI: https://doi.org/10.2478/s11533-013-0284-y

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