On permutable subgroups of finite groups |
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Authors: | M Asaad A A Heliel |
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Institution: | 1.Cairo University, Faculty of Science, Department of Mathematics, Giza 12613, Egypt, e-mail: moasmohs@frcu.eun.eg,EG |
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Abstract: | Let
\frak Z \frak Z be a complete set of Sylow subgroups of a finite group G, that is, for each prime p dividing the order of G,
\frak Z \frak Z contains exactly one and only one Sylow p-subgroup of G. A subgroup H of a finite group G is said to be
\frak Z \frak Z -permutable if H permutes with every member of
\frak Z \frak Z . The purpose here is to study the influence of
\frak Z \frak Z -permutability of some subgroups on the structure of finite groups. Some recent results are generalized. |
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Keywords: | |
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