ON A CLASS OF SUPERSOLUBLE GROUPS
2014 ◽
Vol 90
(2)
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pp. 220-226
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AbstractA subgroup $\def \xmlpi #1{}\def \mathsfbi #1{\boldsymbol {\mathsf {#1}}}\let \le =\leqslant \let \leq =\leqslant \let \ge =\geqslant \let \geq =\geqslant \def \Pr {\mathit {Pr}}\def \Fr {\mathit {Fr}}\def \Rey {\mathit {Re}}H$ of a finite group $G$ is said to be S-semipermutable in $G$ if $H$ permutes with every Sylow $q$-subgroup of $G$ for all primes $q$ not dividing $|H |$. A finite group $G$ is an MS-group if the maximal subgroups of all the Sylow subgroups of $G$ are S-semipermutable in $G$. The aim of the present paper is to characterise the finite MS-groups.
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2008 ◽
Vol 01
(03)
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pp. 369-382
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2018 ◽
Vol 59
(5)
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pp. 922-930
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1988 ◽
Vol 40
(2)
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pp. 352-359
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1989 ◽
Vol 12
(2)
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pp. 263-266
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