A new characterization of groups with central chief factors
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
A new characterization of groups with central chief factors
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| Creator |
Juriaans, O.S.
Raphael, D.M. |
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| Description |
In [1] it is proved that a locally nilpotent group is an (X)-group arising the question whether the converse holds. In this paper we derive some interesting properties and give a complete characterization of (X)-groups. As a consequence we obtain a new characterization of groups whose chief factors are central and it follows also that there exists an (X)-group which is not locally nilpotent, thus answering the question raised in [1]. We also prove a result which extends one on finitely generated nilpotent groups due to Gruenberg.
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| Date |
2019-06-15T17:03:58Z
2019-06-15T17:03:58Z 2009 |
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| Type |
Article
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| Identifier |
A new characterization of groups with central chief factors / O.S. Juriaans, D.M. Raphael // Algebra and Discrete Mathematics. — 2009. — Vol. 8, № 3. — С. 62–68. — Бібліогр.: 7 назв. — англ.
1726-3255 2000 Mathematics Subject Classification:Primary 2036, 16U70. Secondary20C10. http://dspace.nbuv.gov.ua/handle/123456789/154638 |
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| Language |
en
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| Relation |
Algebra and Discrete Mathematics
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| Publisher |
Інститут прикладної математики і механіки НАН України
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