پیوندهای مفید
اخبار و اعلانات
آمار
| تعداد نشریات | 44 |
| تعداد شمارهها | 1,877 |
| تعداد مقالات | 15,278 |
| تعداد مشاهده مقاله | 43,730,722 |
| تعداد دریافت فایل اصل مقاله | 17,563,035 |
Finite groups with some $SS$-embedded subgroups | ||
| International Journal of Group Theory | ||
| مقاله 5، دوره 2، شماره 3، آذر 2013، صفحه 63-70 اصل مقاله (405.73 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22108/ijgt.2013.2543 | ||
| نویسنده | ||
| Tao Zhao* | ||
| School of Science, Shandong University of Technology | ||
| چکیده | ||
| We call $H$ an $SS$-embedded subgroup of $G$ if there exists a normal subgroup $T$ of $G$ such that $HT$ is subnormal in $G$ and $H\cap T\leq H_{sG}$, where $H_{sG}$ is the maximal $s$-permutable subgroup of $G$ contained in $H$. In this paper, we investigate the influence of some $SS$-embedded subgroups on the structure of a finite group $G$. Some new results were obtained. | ||
| کلیدواژهها | ||
| s-permutable subgroup؛ SS-embedded subgroup؛ p-nilpotent group؛ Sylow tower group | ||
| مراجع | ||
|
W. E. Deskins (1963) On quasinormal subgroups of finite groups Math. Z. 82, 125-132
D. Gorenstein (1968) Finite Groups Chelsea Publishing Company, New
York
W. B. Guo, K. P. Shum and A. N. Skiba (2009) On solubility and
supersolubility of some classes of finite groups Sci. China
(Ser. A) 52, 272-286
W. B. Guo, K. P. Shum and F. Y. Xie (2011) Finite groups with some weakly
$s$-supplemented subgroups Glasg. Math. J. 53, 211-222
W. B. Guo, Y. Wang and L. Shi (2008) Nearly $s$-normal subgroups of a
finite group J. Algebra Discrete Struct. 6, 95-106
B. Huppert (1967) Endliche Gruppen Vol. I Springer, New York
O. H. Kegel (1962) Sylow-Gruppen und abnormalteiler endlicher Gruppen Math. Z. 78, 205-221
I. A. Malinowska (2012) Finite groups with $sn$-embedded or $s$-embedded
subgroups Acta Math. Hungar. 136, 76-89
D. J. S. Robinson (1993) A Course in the Theory of Group Springer-Verlag, New York-Berlin
A. N. Skiba (2007) On weakly $s$-permutable subgroups of finite groups J. Algebra 315, 192-209
Y. M. Wang (1996) $C$-normality of groups and its properties J.
Algebra 180, 954-965
Y. M. Wang (1996) $C$-normality and solvability of groups J. Pure
Appl. Algebra 110, 315-320
Y. Wang and W. B. Guo (2010) Nearly $s$-normality of groups and its
properties Comm. Algebra 38, 3821-3836
| ||
|
آمار تعداد مشاهده مقاله: 5,238 تعداد دریافت فایل اصل مقاله: 3,261 |
||