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Open Mathematics

formerly Central European Journal of Mathematics

Editor-in-Chief: Gianazza, Ugo / Vespri, Vincenzo


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2391-5455
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Volume 11, Issue 10

Issues

Volume 13 (2015)

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

Leonid Kurdachenko / Javier Otal
Published Online: 2013-07-20 | DOI: https://doi.org/10.2478/s11533-013-0284-y

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.

MSC: 20F14; 20F19; 20F99

Keywords: Upper central series; Lower central series; Schur theorem; Baer theorem; Finite special rank; Generalized radical group; Hypercentral group

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About the article

Published Online: 2013-07-20

Published in Print: 2013-10-01


Citation Information: Open Mathematics, Volume 11, Issue 10, Pages 1732–1741, ISSN (Online) 2391-5455, DOI: https://doi.org/10.2478/s11533-013-0284-y.

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© 2013 Versita Warsaw. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License. BY-NC-ND 3.0

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[1]
Leonid A. Kurdachenko, Javier Otal, and Alexander A. Pypka
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