Geodesic
On Supersolvable Groups and a Theorem of Huppert
Canadian mathematical bulletin, Tome 33 (1990) no. 3, pp. 314-315

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DOI

We obtain the following generalization of a well known result of Huppert. If p is the largest primer divisor of the order of a finite group G and q is any prime distinct from p, then G is supersolvable if and only if every maximal subgroup whose index is relatively prime to either p or q, has prime index.
DOI : 10.4153/CMB-1990-051-x
Mots-clés : Ftimary 20D10, 20D25, Secondary 20D99, 20D25, solvable, supersolvable, Frattini subgroup 
Mukherjee, N. P.; Bhattacharya, Prabir. On Supersolvable Groups and a Theorem of Huppert. Canadian mathematical bulletin, Tome 33 (1990) no. 3, pp. 314-315. doi: 10.4153/CMB-1990-051-x
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     title = {On {Supersolvable} {Groups} and a {Theorem} of {Huppert}},
     journal = {Canadian mathematical bulletin},
     pages = {314--315},
     year = {1990},
     volume = {33},
     number = {3},
     doi = {10.4153/CMB-1990-051-x},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1990-051-x/}
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