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Issue 4
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Issue 1
On the semi coveravoiding property and $\mathcal{F}$supplementation
Article 4
,
Volume 1, Issue 3
, September 2012
, Page 2131
PDF (414 K)
Document Type: Research Paper
Authors
Changwen Li
^{}
;
Xiaolan Yi
^{}
xuzhou normal university
Abstract
In this paper, we investigate the influence of some subgroups of Sylow subgroups with semi coveravoiding property and $\mathcal{F}$supplementation on the structure of finite groups and generalize a series of known results.
Keywords
semi coveravoiding property
;
$mathcal{F}$supplemented
;
$p$nilpotent
Main Subjects
20D10 Solvable groups, theory of formations, Schunck classes, Fitting classes, πlength, ranks
;
20D20 Sylow subgroups, Sylow properties, πgroups, πstructure
References
1
A. Y. AlsheikAhmad, J. J. Jaraden and A. N. Skiba (2007). On $mathcal{U}_{c}$normal subgroups of finite groups.
Algebra Colloq.
. 14, 2536
2
A. BallesterBolinches and X. Guo (1999). On complemented subgroups of finite groups.
Arch. Math.
. 72, 161166
3
L. M. Ezquerro (1993). A contribution to the theory of finite supersolvable groups.
Rend. Sem. Mat. Univ. Padova,
. 89, 161170
4
Y. Fan, X. Guo and K. P. Shum (2006). Remarks on two generalizations of normality of subgroups.
Chinese Ann. Math. A,
. 27, 169176
5
W. Gasch"{u}tz (1963). Praefrattinigruppen.
Arch. Math.
. 13
6
J. D. Gillam (1974). Coveravoid subgroups in finite solvable groups.
J. Algebra,
. 29, 324329
7
F. Gross (1987). Conjugacy of odd order Hall subgroups.
Bull. London Math. Soc.
. 19, 311319
8
W. Guo (2008). On $mathcal{F}$supplemented subgroups of finite groups.
Manuscripta Math.
. 127, 139150
9
X. Guo, P. Guo and K. P. Shum (2007). On semi coveravoiding subgroups of finite group.
J. Pure Appl. Algebra,
. 209, 151158
10
X. Guo and K. P. Shum (2003). Coveravoidance properties and the structure of finite groups.
J. Pure Appl. Algebra,
. 181, 297308
11
X. Guo and K. P. Shum (2003). On $c$normal maximal and minimal subgroups of Sylow $p$subgroups of finite groups.
Arch. Math.
. 80, 561569
12
X. Guo and K. P. Shum (2005). Finite $p$nilpotent groups with some subgroups $c$supplemented.
J. Aust. Math. Soc.
. 78, 429439
13
X. Guo and K. P. Shum (2003). On $p$nilpotency of finite groups with some subgroups $c$supplemented.
Algebra Colloq.
. 10, 259266
14
X. Guo and K. P. Shum (2006). Complementarity of subgroups and the structure of finite groups.
Algebra Colloq.
. 13, 916
15
X. Guo and L. Wang (2007). On finite groups with some semi coveravoiding subgroups.
Acta Math. Sin.
. 23, 16891696
16
X. Guo, J. Wang and K. P. Shum (2006). On semi coveravoiding maximal subgroup and solvability of finite groups.
Comm. Algebra,
. 34, 32353244
17
B. Huppert (1967). Endliche Gruppen I,.
SpringerVerlag, BerlinNew York
.
18
D. Li and X. Guo (2000). The influence of $c$normality of subgroups on the structure of finite groups.
J. Pure Appl. Algebra,
. 150, 5360
19
X. Li and Y. Yang (2008). Semi $CAP$subgroups and the structure of finite groups.
Acta Math. Sin.
. 51, 11811187
20
A. N. Skiba (2007). On weakly $s$permutable subgroups of finite groups.
J. Algebra,
. 315, 192209
21
Y. Wang (2000). Finite groups with some subgroups of Sylow subgroups $c$supplemented.
J. Algebra,
. 224, 467478
22
Y. Wang (1996). $c$Normality of groups and its properties.
J. Algebra,
. 180, 954965
23
Y. Wang and H. Wei (2004). On a problem of Skiba from the Kourovka Notebook.
Sci. China Ser. A,
. 47, 96103
24
Y. Wang, H. Wei and Y. Li (2002). A generalization of Kramer's theorem and its application.
Bull. Aust. Math. Soc.
. 65, 467475
25
H. Wei (2001). On $c$normal maximal and minimal subgroups of Sylow subgroups of finite groups.
Comm. Algebra,
. 29, 21932200
26
H. Wei and Y. Wang (2007). On $c^{ast}$normality and its properties.
J. Group Theory,
. 10, 211223
27
T. Zhao and X. Li (2010). Semi coveravoiding properties of finite groups.
Front. Math. China,
. 5, 79800
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