Hypersolvable Groups |
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| Authors: | Ahmet Arıkan |
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| Institution: | Department of Mathematics , Gazi University Arts, Science Faculty , Teknikokullar , Ankara , Turkey |
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| Abstract: | Call a group G hypersolvable if it has an ascending series with G/CG(A) solvable for each factor A of the series. In this article we establish some basic facts about hypersolvable groups. We also prove that if G is a perfect Fitting p-group such that every proper subgroup is contained in a proper normal subgroup, then G has a proper non-hypersolvable subgroup. |
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| Keywords: | Commutator Fitting p-groups Hypersolvable Nilpotent Solvable Variety of groups |
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