A note on p-solvable and solvable finite groups
The notion of normal index is utilized in proving necessary and sufficient conditions for a group G to be respectively, p-solvable and solvable where p is the largest prime divisor of |G|. These are used further in identifying the largest normal p-solvable and normal solvable subgroups, respectively...
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| Format: | Article |
| Language: | English |
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Hindawi Limited
1994-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171294001158 |
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doaj-f7698a0e49a04b85bbfe4161b71a358b2020-11-24T22:57:04ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251994-01-0117482182410.1155/S0161171294001158A note on p-solvable and solvable finite groupsR. Khazal0N. P. Mukherjee1Mathematics Department, College of Science Kuwait University, P.O. Box 5969, Safat 13060, KuwaitDepartment of Mathematics Jawaharlal Nehru University, New Delhi 110067, IndiaThe notion of normal index is utilized in proving necessary and sufficient conditions for a group G to be respectively, p-solvable and solvable where p is the largest prime divisor of |G|. These are used further in identifying the largest normal p-solvable and normal solvable subgroups, respectively, of G.http://dx.doi.org/10.1155/S0161171294001158solvablep-solvable. |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
R. Khazal N. P. Mukherjee |
| spellingShingle |
R. Khazal N. P. Mukherjee A note on p-solvable and solvable finite groups International Journal of Mathematics and Mathematical Sciences solvable p-solvable. |
| author_facet |
R. Khazal N. P. Mukherjee |
| author_sort |
R. Khazal |
| title |
A note on p-solvable and solvable finite groups |
| title_short |
A note on p-solvable and solvable finite groups |
| title_full |
A note on p-solvable and solvable finite groups |
| title_fullStr |
A note on p-solvable and solvable finite groups |
| title_full_unstemmed |
A note on p-solvable and solvable finite groups |
| title_sort |
note on p-solvable and solvable finite groups |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
1994-01-01 |
| description |
The notion of normal index is utilized in proving necessary and sufficient conditions for a group G to be respectively, p-solvable and solvable where p is the largest prime divisor of |G|. These are used further in identifying the largest normal p-solvable and normal solvable subgroups, respectively, of G. |
| topic |
solvable p-solvable. |
| url |
http://dx.doi.org/10.1155/S0161171294001158 |
| work_keys_str_mv |
AT rkhazal anoteonpsolvableandsolvablefinitegroups AT npmukherjee anoteonpsolvableandsolvablefinitegroups AT rkhazal noteonpsolvableandsolvablefinitegroups AT npmukherjee noteonpsolvableandsolvablefinitegroups |
| _version_ |
1725652186879229952 |