A new characterization of groups with central chief factors
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...
Збережено в:
| Дата: | 2009 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2009
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| Назва видання: | Algebra and Discrete Mathematics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/154638 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-154638 |
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irk-123456789-1546382019-06-16T01:30:25Z A new characterization of groups with central chief factors Juriaans, O.S. Raphael, D.M. 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. 2009 Article 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 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Juriaans, O.S. Raphael, D.M. |
| spellingShingle |
Juriaans, O.S. Raphael, D.M. A new characterization of groups with central chief factors Algebra and Discrete Mathematics |
| author_facet |
Juriaans, O.S. Raphael, D.M. |
| author_sort |
Juriaans, O.S. |
| title |
A new characterization of groups with central chief factors |
| title_short |
A new characterization of groups with central chief factors |
| title_full |
A new characterization of groups with central chief factors |
| title_fullStr |
A new characterization of groups with central chief factors |
| title_full_unstemmed |
A new characterization of groups with central chief factors |
| title_sort |
new characterization of groups with central chief factors |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2009 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/154638 |
| citation_txt |
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. |
| series |
Algebra and Discrete Mathematics |
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2023-05-20T17:44:44Z |
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2023-05-20T17:44:44Z |
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