首页
学术期刊
论文检测
AIGC检测
热点
更多
数据
Elements of minimal breadth in finite p-groups and Lie algebras
被引:19
|
作者
:
Mann, Avinoam
论文数:
0
引用数:
0
h-index:
0
机构:
Hebrew Univ Jerusalem, Inst Math, IL-91904 Jerusalem, Israel
Hebrew Univ Jerusalem, Inst Math, IL-91904 Jerusalem, Israel
Mann, Avinoam
[
1
]
机构
:
[1]
Hebrew Univ Jerusalem, Inst Math, IL-91904 Jerusalem, Israel
来源
:
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY
|
2006年
/ 81卷
关键词
:
D O I
:
10.1017/S1446788700015834
中图分类号
:
O1 [数学];
学科分类号
:
0701 ;
070101 ;
摘要
:
Let G be a finite p-group, and let M(G) be the subgroup generated by the non-central conjugacy classes of G of minimal size. We prove that this subgroup has class at most 3. A similar result is noted for nilpotent Lie algebras.
引用
收藏
页码:209 / 214
页数:6
相关论文
共 50 条
[1]
GENERATION OF P-GROUPS BY ELEMENTS OF BOUNDED BREADTH
VAUGHANLEE, MR
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV WALES UNIV COLL CARDIFF, CARDIFF CF1 1XL, S GLAM, WALES
UNIV WALES UNIV COLL CARDIFF, CARDIFF CF1 1XL, S GLAM, WALES
VAUGHANLEE, MR
WIEGOLD, J
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV WALES UNIV COLL CARDIFF, CARDIFF CF1 1XL, S GLAM, WALES
UNIV WALES UNIV COLL CARDIFF, CARDIFF CF1 1XL, S GLAM, WALES
WIEGOLD, J
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS,
1983,
95
: 215
-
221
[2]
Centralizer sizes and nilpotency class in Lie algebras and finite p-groups
Jaikin-Zapirain, A
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Autonoma Madrid, Fac Ciencias, Dept Matemat, E-28049 Madrid, Spain
Univ Autonoma Madrid, Fac Ciencias, Dept Matemat, E-28049 Madrid, Spain
Jaikin-Zapirain, A
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY,
2005,
133
(10)
: 2817
-
2820
[3]
Generation of p-groups by elements of bounded breadth
Warren, C
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Wales, Sch Math, Cardiff CF1 3NS, S Glam, Wales
Univ Wales, Sch Math, Cardiff CF1 3NS, S Glam, Wales
Warren, C
Wiegold, J
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Wales, Sch Math, Cardiff CF1 3NS, S Glam, Wales
Univ Wales, Sch Math, Cardiff CF1 3NS, S Glam, Wales
Wiegold, J
JOURNAL OF GROUP THEORY,
1999,
2
(04)
: 373
-
375
[4]
ON FINITE p-GROUPS WITH SUBGROUPS OF BREADTH 1
Cutolo, Giovanni
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Naples Federico 2, Dipartimento Matemat & Applicaz R Caccioppoli, I-80126 Naples, Italy
Univ Naples Federico 2, Dipartimento Matemat & Applicaz R Caccioppoli, I-80126 Naples, Italy
Cutolo, Giovanni
Smith, Howard
论文数:
0
引用数:
0
h-index:
0
机构:
Bucknell Univ, Dept Math, Lewisburg, PA 17837 USA
Univ Naples Federico 2, Dipartimento Matemat & Applicaz R Caccioppoli, I-80126 Naples, Italy
Smith, Howard
Wiegold, James
论文数:
0
引用数:
0
h-index:
0
机构:
Cardiff Univ, Sch Math, Cardiff CF24 4Y, S Glam, Wales
Univ Naples Federico 2, Dipartimento Matemat & Applicaz R Caccioppoli, I-80126 Naples, Italy
Wiegold, James
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY,
2010,
82
(01)
: 84
-
98
[5]
BREADTH OF FINITE P-GROUPS .1.
MACDONALD, ID
论文数:
0
引用数:
0
h-index:
0
MACDONALD, ID
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS,
1977,
78
: 31
-
39
[6]
Lie algebras and higher torsion in p-groups
Pakianathan, Jonathan
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Rochester, Dept Math, Rochester, NY 14627 USA
Univ Rochester, Dept Math, Rochester, NY 14627 USA
Pakianathan, Jonathan
Rogers, Nicholas F.
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Rochester, Dept Math, Rochester, NY 14627 USA
Univ Rochester, Dept Math, Rochester, NY 14627 USA
Rogers, Nicholas F.
JOURNAL OF ALGEBRA,
2013,
385
: 192
-
240
[7]
Nilpotency of some Lie algebras associated with p-groups
Shumyatsky, P
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Brasilia, Dept Math, BR-70919 Brasilia, DF, Brazil
Univ Brasilia, Dept Math, BR-70919 Brasilia, DF, Brazil
Shumyatsky, P
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES,
1999,
51
(03):
: 658
-
672
[8]
Units in Group Algebras of Finite p-Groups
A. Bovdi
论文数:
0
引用数:
0
h-index:
0
机构:
University of Debrecen,Institute of Mathematics and Informatics
A. Bovdi
Z. Patay
论文数:
0
引用数:
0
h-index:
0
机构:
University of Debrecen,Institute of Mathematics and Informatics
Z. Patay
Journal of Mathematical Sciences,
2003,
116
(1)
: 2887
-
2893
[9]
p-Groups of small breadth
Parmeggiani, G
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Padua, Padua, Italy
Univ Padua, Padua, Italy
Parmeggiani, G
Stellmacher, B
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Padua, Padua, Italy
Stellmacher, B
JOURNAL OF ALGEBRA,
1999,
213
(01)
: 52
-
68
[10]
MINIMAL RELATIONS FOR CERTAIN FINITE P-GROUPS
JOHNSON, DL
论文数:
0
引用数:
0
h-index:
0
JOHNSON, DL
WAMSLEY, JW
论文数:
0
引用数:
0
h-index:
0
WAMSLEY, JW
ISRAEL JOURNAL OF MATHEMATICS,
1970,
8
(04)
: 349
-
&
←
1
2
3
4
5
→