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...
Saved in:
| Published in: | Algebra and Discrete Mathematics |
|---|---|
| Date: | 2010 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2010
|
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/154601 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862567719390412800 |
|---|---|
| author | Cangelmi, L. Muktibodh, A.S. |
| author_facet | Cangelmi, L. Muktibodh, A.S. |
| 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. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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.
|
| first_indexed | 2025-11-26T00:22:04Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-154601 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-11-26T00:22:04Z |
| publishDate | 2010 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | Camina groups with few conjugacy classes Cangelmi, L. Muktibodh, A.S. |
| title | 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_short | Camina groups with few conjugacy classes |
| title_sort | camina groups with few conjugacy classes |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/154601 |
| work_keys_str_mv | AT cangelmil caminagroupswithfewconjugacyclasses AT muktibodhas caminagroupswithfewconjugacyclasses |