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

Leonid Kurdachenko 1  and Javier Otal 2
  • 1 Department of Algebra, National University of Dnepropetrovsk, 72 Gagarin Av., 49010, Dnepropetrovsk, Ukraine
  • 2 Department of Mathematics — IUMA, University of Zaragoza, Pedro Cerbuna 12, 50009, Zaragoza, Spain

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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