ON A CLASS OF SUPERSOLUBLE GROUPS
A 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 $H$ permu...
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| Veröffentlicht in: | Bulletin of the Australian Mathematical Society 2014-10, Vol.90 (2), p.220-226 |
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| container_title | Bulletin of the Australian Mathematical Society |
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| creator | BALLESTER-BOLINCHES, A. BEIDLEMAN, J. C. ESTEBAN-ROMERO, R. RAGLAND, M. F. |
| description | A 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. |
| doi_str_mv | 10.1017/S0004972714000306 |
| format | Article |
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| title | ON A CLASS OF SUPERSOLUBLE GROUPS |
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