Camina groups with few conjugacy classes
Let G be a finite group having a proper normal subgroup K such that the conjugacy classes outside K coincide with the cosets of K. The subgroup K turns out to be the derived subgroup of G, so the group G is either abelian or Camina. Hence, we propose to classify Camina groups according to the number...
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| Veröffentlicht in: | Algebra and Discrete Mathematics |
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| Datum: | 2010 |
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| Sprache: | English |
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Інститут прикладної математики і механіки НАН України
2010
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| Zitieren: | Camina groups with few conjugacy classes / L. Cangelmi, A.S. Muktibodh // Algebra and Discrete Mathematics. — 2010. — Vol. 9, № 2. — С. 38–47. — Бібліогр.: 8 назв. — англ. |
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Cangelmi, L. Muktibodh, A.S. 2019-06-15T16:42:05Z 2019-06-15T16:42:05Z 2010 Camina groups with few conjugacy classes / L. Cangelmi, A.S. Muktibodh // Algebra and Discrete Mathematics. — 2010. — Vol. 9, № 2. — С. 38–47. — Бібліогр.: 8 назв. — англ. 1726-3255 2000 Mathematics Subject Classification:20D25; 20E45. https://nasplib.isofts.kiev.ua/handle/123456789/154601 Let G be a finite group having a proper normal subgroup K such that the conjugacy classes outside K coincide with the cosets of K. The subgroup K turns out to be the derived subgroup of G, so the group G is either abelian or Camina. Hence, we propose to classify Camina groups according to the number of conjugacy classes contained in the derived subgroup. We give the complete characterization of Camina groups when the derived subgroup is made up of two or three conjugacy classes, showing that such groups are all Frobenius or extra-special. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Camina groups with few conjugacy classes Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Camina groups with few conjugacy classes |
| spellingShingle |
Camina groups with few conjugacy classes Cangelmi, L. Muktibodh, A.S. |
| title_short |
Camina groups with few conjugacy classes |
| title_full |
Camina groups with few conjugacy classes |
| title_fullStr |
Camina groups with few conjugacy classes |
| title_full_unstemmed |
Camina groups with few conjugacy classes |
| title_sort |
camina groups with few conjugacy classes |
| author |
Cangelmi, L. Muktibodh, A.S. |
| author_facet |
Cangelmi, L. Muktibodh, A.S. |
| publishDate |
2010 |
| language |
English |
| container_title |
Algebra and Discrete Mathematics |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| description |
Let G be a finite group having a proper normal subgroup K such that the conjugacy classes outside K coincide with the cosets of K. The subgroup K turns out to be the derived subgroup of G, so the group G is either abelian or Camina. Hence, we propose to classify Camina groups according to the number of conjugacy classes contained in the derived subgroup. We give the complete characterization of Camina groups when the derived subgroup is made up of two or three conjugacy classes, showing that such groups are all Frobenius or extra-special.
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| issn |
1726-3255 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/154601 |
| fulltext |
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| citation_txt |
Camina groups with few conjugacy classes / L. Cangelmi, A.S. Muktibodh // Algebra and Discrete Mathematics. — 2010. — Vol. 9, № 2. — С. 38–47. — Бібліогр.: 8 назв. — англ. |
| work_keys_str_mv |
AT cangelmil caminagroupswithfewconjugacyclasses AT muktibodhas caminagroupswithfewconjugacyclasses |
| first_indexed |
2025-11-26T00:22:04Z |
| last_indexed |
2025-11-26T00:22:04Z |
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1850600466353750016 |