پیوندهای مفید
اخبار و اعلانات
آمار
| تعداد نشریات | 44 |
| تعداد شمارهها | 1,877 |
| تعداد مقالات | 15,278 |
| تعداد مشاهده مقاله | 43,731,371 |
| تعداد دریافت فایل اصل مقاله | 17,563,515 |
On the semi cover-avoiding property and $\mathcal{F}$-supplementation | ||
| International Journal of Group Theory | ||
| مقاله 4، دوره 1، شماره 3، آذر 2012، صفحه 21-31 اصل مقاله (414.43 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22108/ijgt.2012.996 | ||
| نویسندگان | ||
| Changwen Li* ؛ Xiaolan Yi | ||
| xuzhou normal university | ||
| چکیده | ||
| In this paper, we investigate the influence of some subgroups of Sylow subgroups with semi cover-avoiding property and $\mathcal{F}$-supplementation on the structure of finite groups and generalize a series of known results. | ||
| کلیدواژهها | ||
| semi cover-avoiding property؛ $mathcal{F}$-supplemented؛ $p$-nilpotent | ||
| مراجع | ||
|
A. Y. AlsheikAhmad, J. J. Jaraden and A. N. Skiba (2007) On $mathcal{U}_{c}$-normal subgroups of finite groups Algebra Colloq. 14, 25-36
A. Ballester-Bolinches and X. Guo (1999) On complemented subgroups of finite groups Arch. Math. 72, 161-166
L. M. Ezquerro (1993) A contribution to the theory of finite supersolvable groups Rend. Sem. Mat. Univ. Padova, 89, 161-170
Y. Fan, X. Guo and K. P. Shum (2006) Remarks on two generalizations of normality of subgroups Chinese Ann. Math. A, 27, 169-176
W. Gasch"{u}tz (1963) Praefrattinigruppen Arch. Math. 13
J. D. Gillam (1974) Cover-avoid subgroups in finite solvable groups J. Algebra, 29, 324-329
F. Gross (1987) Conjugacy of odd order Hall subgroups Bull. London Math. Soc. 19, 311-319
W. Guo (2008) On $mathcal{F}$-supplemented subgroups of finite groups Manuscripta Math. 127, 139-150
X. Guo, P. Guo and K. P. Shum (2007) On semi cover-avoiding subgroups of finite group J. Pure Appl. Algebra, 209, 151-158
X. Guo and K. P. Shum (2003) Cover-avoidance properties and the structure of finite groups J. Pure Appl. Algebra, 181, 297-308
X. Guo and K. P. Shum (2003) On $c$-normal maximal and minimal subgroups of Sylow $p$-subgroups of finite groups Arch. Math. 80, 561-569
X. Guo and K. P. Shum (2005) Finite $p$-nilpotent groups with some subgroups $c$-supplemented J. Aust. Math. Soc. 78, 429-439
X. Guo and K. P. Shum (2003) On $p$-nilpotency of finite groups with some subgroups $c$-supplemented Algebra Colloq. 10, 259-266
X. Guo and K. P. Shum (2006) Complementarity of subgroups and the structure of finite groups Algebra Colloq. 13, 9-16
X. Guo and L. Wang (2007) On finite groups with some semi cover-avoiding subgroups Acta Math. Sin. 23, 1689-1696
X. Guo, J. Wang and K. P. Shum (2006) On semi cover-avoiding maximal subgroup and solvability of finite groups Comm. Algebra, 34, 3235-3244
B. Huppert (1967) Endliche Gruppen I, Springer-Verlag, Berlin-New York
D. Li and X. Guo (2000) The influence of $c$-normality of subgroups on the structure of finite groups J. Pure Appl. Algebra, 150, 53-60
X. Li and Y. Yang (2008) Semi $CAP$-subgroups and the structure of finite groups Acta Math. Sin. 51, 1181-1187
A. N. Skiba (2007) On weakly $s$-permutable subgroups of finite groups J. Algebra, 315, 192-209
Y. Wang (2000) Finite groups with some subgroups of Sylow subgroups $c$-supplemented J. Algebra, 224, 467-478
Y. Wang (1996) $c$-Normality of groups and its properties J. Algebra, 180, 954-965
Y. Wang and H. Wei (2004) On a problem of Skiba from the Kourovka Notebook Sci. China Ser. A, 47, 96-103
Y. Wang, H. Wei and Y. Li (2002) A generalization of Kramer's theorem and its application Bull. Aust. Math. Soc. 65, 467-475
H. Wei (2001) On $c$-normal maximal and minimal subgroups of Sylow subgroups of finite groups Comm. Algebra, 29, 2193-2200
H. Wei and Y. Wang (2007) On $c^{ast}$-normality and its properties J. Group Theory, 10, 211-223
T. Zhao and X. Li (2010) Semi cover-avoiding properties of finite groups Front. Math. China, 5, 79-800
| ||
|
آمار تعداد مشاهده مقاله: 4,881 تعداد دریافت فایل اصل مقاله: 3,139 |
||