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Fundamentalnaya i Prikladnaya Matematika, 2008, Volume 14, Issue 6, Pages 121–134
(Mi fpm1161)
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On some near to nilpotent groups
L. A. Kurdachenkoa, I. Ya. Subbotinb, V. A. Ñhupordyaa a Dnepropetrovsk National University, Ukraine
b National University, Los Angeles, USA
Abstract:
Locally (soluble-by-finite) groups each of whose subgroups is either pronormal or subnormal are studied. It is proven that such torsion-free groups are nilpotent and a sketch of the structure of locally finite groups of this type is obtained.
Citation:
L. A. Kurdachenko, I. Ya. Subbotin, V. A. Ñhupordya, “On some near to nilpotent groups”, Fundam. Prikl. Mat., 14:6 (2008), 121–134; J. Math. Sci., 164:1 (2010), 82–90
Linking options:
https://www.mathnet.ru/eng/fpm1161 https://www.mathnet.ru/eng/fpm/v14/i6/p121
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Abstract page: | 257 | Full-text PDF : | 112 | References: | 34 | First page: | 1 |
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