Influence of certain permutable subgroups on finite smooth groups |
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| Authors: | A M Elkholy A A Heliel |
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| Institution: | [1]Department of Mathematics, Beni-Suef University, Faculty of Science 62511, Beni-Suef, Egypt [2]Department of Mathematics, King Abdulaziz University, Faculty of Science 80203, Jeddah 21589, Saudi Arabia |
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| Abstract: | A subgroup H of a finite group G is said to be permutable in G if it permutes with every subgroup of G. In this paper, we determine the finite groups which have a permutable subgroup of prime order and whose maximal subgroups
are totally (generalized) smooth groups. |
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| Keywords: | Permutable subgroups smooth groups subgroup lattices |
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