Camina groups with few conjugacy classes
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Camina groups with few conjugacy classes
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| Creator |
Cangelmi, L.
Muktibodh, A.S. |
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| 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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| Date |
2019-06-15T16:42:05Z
2019-06-15T16:42:05Z 2010 |
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| Type |
Article
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| Identifier |
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. http://dspace.nbuv.gov.ua/handle/123456789/154601 |
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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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