On p-supersolvability of finite groups

Mohamed Asaad

doi:10.1556/012.2015.52.4.1324

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Studia Scientiarum Mathematicarum Hungarica

Volume/Issue:: Volume 52: Issue 4

On p-supersolvability of finite groups

Author:

Mohamed Asaad

Mohamed Asaad Department of Mathematics, Faculty of Science, Cairo University, 12613 Giza, Egypte-mail: moasmo45@hotmail.com

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Pages:: 504–510

Online Publication Date:: Dec 2015

Publication Date:: 01 Dec 2015

Article Category:: Journal Article

DOI:: https://doi.org/10.1556/012.2015.52.4.1324

Keywords:: Primary 20D05; 20D10; 20D35; Finite group; supersolvable group; saturated formation

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Let G be a finite group. A subgroup H of G is said to be s-permutable in G if H permutes with all Sylow subgroups of G. Let H be a subgroup of G and let H_sG be the subgroup of H generated by all those subgroups of H which are s-permutable in G. A subgroup H of G is called n-embedded in G if G has a normal subgroup T such that H^G = HT and H ∩ T ≦ H_sG, where H^G is the normal closure of H in G. We investigate the influence of n-embedded subgroups of the p-nilpotency and p-supersolvability of G.

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Studia Scientiarum Mathematicarum Hungarica

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András STIPSICZ (Rényi Institute of Mathematics)
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Péter CSIKVÁRI (ELTE, Budapest)
Joshua GREENE (Boston College)
Penny HAXELL (University of Waterloo)
Andreas HOLMSEN (Korea Advanced Institute of Science and Technology)
Ron HOLZMAN (Technion, Haifa)
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Tibor JORDÁN (ELTE, Budapest)
Roy MESHULAM (Technion, Haifa)
Frédéric MEUNIER (École des Ponts ParisTech)
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Eran NEVO (Hebrew University of Jerusalem)
János PACH (Rényi Institute of Mathematics)
Péter Pál PACH (BME, Budapest)
Andrew SUK (University of California, San Diego)
Zoltán SZABÓ (Princeton University)
Martin TANCER (Charles University, Prague)
Gábor TARDOS (Rényi Institute of Mathematics)
Paul WOLLAN (University of Rome "La Sapienza")

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Studia Scientiarum Mathematicarum Hungarica
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