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Groups with two Sylow numbers are the product of two nilpotent Hall subgroups
被引:9
作者
:
论文数:
引用数:
h-index:
机构:
Moreto, Alexander
[
1
]
机构
:
[1]
Univ Valencia, Dept Algebra, E-46100 Valencia, Spain
来源
:
ARCHIV DER MATHEMATIK
|
2012年
/ 99卷
/ 04期
关键词
:
Sylow subgroup;
Sylow number;
Nilpotent subgroup;
FINITE-GROUPS;
D O I
:
10.1007/s00013-012-0429-4
中图分类号
:
O1 [数学];
学科分类号
:
0701 ;
070101 ;
摘要
:
We have recently found a characterization of the existence of nilpotent Hall subgroups in a finite group. Using this result, we prove the statement in the title. This is a strong form of a conjecture of J. Zhang.
引用
收藏
页码:301 / 304
页数:4
相关论文
共 5 条
[1]
Number of Sylow subgroups and p-nilpotence of finite groups
[J].
Chigira, N
论文数:
0
引用数:
0
h-index:
0
机构:
Kumamoto Univ, Dept Math, Kumamoto 860, Japan
Kumamoto Univ, Dept Math, Kumamoto 860, Japan
Chigira, N
.
JOURNAL OF ALGEBRA,
1998,
201
(01)
:71
-85
[2]
Groups with two Sylow numbers are solvable
[J].
Luca, F
论文数:
0
引用数:
0
h-index:
0
机构:
Syracuse Univ, Dept Math, Syracuse, NY 13244 USA
Syracuse Univ, Dept Math, Syracuse, NY 13244 USA
Luca, F
.
ARCHIV DER MATHEMATIK,
1998,
71
(02)
:95
-96
[3]
Moreto A., SYLOW NUMBERS NILPOT
[4]
ON REES SERIES OF SIMPLE GROUPS
[J].
WARD, HN
论文数:
0
引用数:
0
h-index:
0
WARD, HN
.
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY,
1966,
121
(01)
:62
-&
[5]
SYLOW NUMBERS OF FINITE-GROUPS
[J].
ZHANG, JP
论文数:
0
引用数:
0
h-index:
0
机构:
BEIJING UNIV,DEPT MATH,BEIJING 100871,PEOPLES R CHINA
BEIJING UNIV,DEPT MATH,BEIJING 100871,PEOPLES R CHINA
ZHANG, JP
.
JOURNAL OF ALGEBRA,
1995,
176
(01)
:111
-123
←
1
→
共 5 条
[1]
Number of Sylow subgroups and p-nilpotence of finite groups
[J].
Chigira, N
论文数:
0
引用数:
0
h-index:
0
机构:
Kumamoto Univ, Dept Math, Kumamoto 860, Japan
Kumamoto Univ, Dept Math, Kumamoto 860, Japan
Chigira, N
.
JOURNAL OF ALGEBRA,
1998,
201
(01)
:71
-85
[2]
Groups with two Sylow numbers are solvable
[J].
Luca, F
论文数:
0
引用数:
0
h-index:
0
机构:
Syracuse Univ, Dept Math, Syracuse, NY 13244 USA
Syracuse Univ, Dept Math, Syracuse, NY 13244 USA
Luca, F
.
ARCHIV DER MATHEMATIK,
1998,
71
(02)
:95
-96
[3]
Moreto A., SYLOW NUMBERS NILPOT
[4]
ON REES SERIES OF SIMPLE GROUPS
[J].
WARD, HN
论文数:
0
引用数:
0
h-index:
0
WARD, HN
.
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY,
1966,
121
(01)
:62
-&
[5]
SYLOW NUMBERS OF FINITE-GROUPS
[J].
ZHANG, JP
论文数:
0
引用数:
0
h-index:
0
机构:
BEIJING UNIV,DEPT MATH,BEIJING 100871,PEOPLES R CHINA
BEIJING UNIV,DEPT MATH,BEIJING 100871,PEOPLES R CHINA
ZHANG, JP
.
JOURNAL OF ALGEBRA,
1995,
176
(01)
:111
-123
←
1
→