Some results on π-solvable and supersolvable groups
For a finite group G, ϕp(G), Sp(G), L(G) and S𝒫(G) are generalizations of the Frattini subgroup of G. We obtain some results on π-solvable, p-solvable and supersolvable groups with the help of the structures of these subgroups.
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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/S0161171294000098 |
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doaj-4d81a69437a14a93b4532069632eadcb2020-11-24T23:49:52ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251994-01-01171596410.1155/S0161171294000098Some results on π-solvable and supersolvable groupsT. K. Dutta0A. Bhattacharyya1Department of Pure Mathematics, University of Calcutta, 35, Ballygunge Circular Road, Calcutta 700 019, IndiaDepartment of Pure Mathematics, University of Calcutta, 35, Ballygunge Circular Road, Calcutta 700 019, IndiaFor a finite group G, ϕp(G), Sp(G), L(G) and S𝒫(G) are generalizations of the Frattini subgroup of G. We obtain some results on π-solvable, p-solvable and supersolvable groups with the help of the structures of these subgroups.http://dx.doi.org/10.1155/S0161171294000098p-solvableπ-solvablesupersolvable. |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
T. K. Dutta A. Bhattacharyya |
| spellingShingle |
T. K. Dutta A. Bhattacharyya Some results on π-solvable and supersolvable groups International Journal of Mathematics and Mathematical Sciences p-solvable π-solvable supersolvable. |
| author_facet |
T. K. Dutta A. Bhattacharyya |
| author_sort |
T. K. Dutta |
| title |
Some results on π-solvable and supersolvable groups |
| title_short |
Some results on π-solvable and supersolvable groups |
| title_full |
Some results on π-solvable and supersolvable groups |
| title_fullStr |
Some results on π-solvable and supersolvable groups |
| title_full_unstemmed |
Some results on π-solvable and supersolvable groups |
| title_sort |
some results on π-solvable and supersolvable groups |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
1994-01-01 |
| description |
For a finite group G, ϕp(G), Sp(G), L(G) and S𝒫(G) are generalizations of the Frattini subgroup of G. We obtain some results on π-solvable, p-solvable and supersolvable groups with the help of the structures of these subgroups. |
| topic |
p-solvable π-solvable supersolvable. |
| url |
http://dx.doi.org/10.1155/S0161171294000098 |
| work_keys_str_mv |
AT tkdutta someresultsonpsolvableandsupersolvablegroups AT abhattacharyya someresultsonpsolvableandsupersolvablegroups |
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1725481175453007872 |