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A COMPLETE CLASSIFICATION OF FINITE p-GROUPS ALL OF WHOSE NONCYCLIC SUBGROUPS ARE NORMAL
被引:16
作者
:
Bozikov, Zdravka
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Split, Fac Civil Engn & Architecture, Split 21000, Croatia
Univ Split, Fac Civil Engn & Architecture, Split 21000, Croatia
Bozikov, Zdravka
[
1
]
Janko, Zvonimir
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Heidelberg, Math Inst, D-69120 Heidelberg, Germany
Univ Split, Fac Civil Engn & Architecture, Split 21000, Croatia
Janko, Zvonimir
[
2
]
机构
:
[1]
Univ Split, Fac Civil Engn & Architecture, Split 21000, Croatia
[2]
Univ Heidelberg, Math Inst, D-69120 Heidelberg, Germany
来源
:
GLASNIK MATEMATICKI
|
2009年
/ 44卷
/ 01期
关键词
:
Dedekindian p-groups;
Hamiltonian;
2-groups;
minimal nonabelian p-groups;
central products;
2-GROUPS;
D O I
:
10.3336/gm.44.1.10
中图分类号
:
O29 [应用数学];
学科分类号
:
070104 ;
摘要
:
We give a complete classification of finite p-groups all of whose noncyclic subgroups are normal, which solves a problem stated by Berkovich.
引用
收藏
页码:177 / 185
页数:9
相关论文
共 6 条
[1]
BERKOVICH Y, GROUPS PRIME P UNPUB
[2]
Berkovich Y, 2006, CONTEMP MATH, V402, P13
[3]
Huppert B., 1967, Endliche Gruppen I
[4]
Janko Z, 2004, J REINE ANGEW MATH, V566, P135
[5]
On finite nonabelian 2-groups all of whose minimal nonabelian subgroups are of exponent 4
Janko, Zvonimir
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Heidelberg, Inst Math, D-69120 Heidelberg, Germany
Univ Heidelberg, Inst Math, D-69120 Heidelberg, Germany
Janko, Zvonimir
[J].
JOURNAL OF ALGEBRA,
2007,
315
(02)
: 801
-
808
[6]
NONNORMAL SUBGROUPS OF P-GROUPS
PASSMAN, DS
论文数:
0
引用数:
0
h-index:
0
PASSMAN, DS
[J].
JOURNAL OF ALGEBRA,
1970,
15
(03)
: 352
-
&
←
1
→
共 6 条
[1]
BERKOVICH Y, GROUPS PRIME P UNPUB
[2]
Berkovich Y, 2006, CONTEMP MATH, V402, P13
[3]
Huppert B., 1967, Endliche Gruppen I
[4]
Janko Z, 2004, J REINE ANGEW MATH, V566, P135
[5]
On finite nonabelian 2-groups all of whose minimal nonabelian subgroups are of exponent 4
Janko, Zvonimir
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Heidelberg, Inst Math, D-69120 Heidelberg, Germany
Univ Heidelberg, Inst Math, D-69120 Heidelberg, Germany
Janko, Zvonimir
[J].
JOURNAL OF ALGEBRA,
2007,
315
(02)
: 801
-
808
[6]
NONNORMAL SUBGROUPS OF P-GROUPS
PASSMAN, DS
论文数:
0
引用数:
0
h-index:
0
PASSMAN, DS
[J].
JOURNAL OF ALGEBRA,
1970,
15
(03)
: 352
-
&
←
1
→