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Groups whose proper quotients are hypercentral

Part of: Special aspects of infinite or finite groups

Published online by Cambridge University Press:  09 April 2009

L. A. Kurdachenko  and
I. Y. Subbotin
L. A. Kurdachenko
Affiliation:
L. A. Kurdachenko, Algebra Department, Dnepropetrovsk University, Provulok Naukovyi 13, 320625 Ukraine e-mail: [email protected]
I. Y. Subbotin
Affiliation:
I. Y. Subbotin, Mathematics Department, National University, 9920 S.La Cienega Blvd, Inglewood, CA 90301, USA e-mail: [email protected]
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Abstract

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Groups, all proper factor-groups of which are hypercentral of finite torsion-free rank, are studied in this article.

MSC classification

Secondary: 20F19: Generalizations of solvable and nilpotent groups 20F14: Derived series, central series, and generalizations
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 65 , Issue 2 , October 1998 , pp. 224 - 237
Copyright
Copyright © Australian Mathematical Society 1998

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