Elements of minimal breadth in finite p-groups and Lie algebras

被引：19

作者：

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

页码：209 / 214

页数：6

共 50 条

[41] ON MAXIMAL SUBSETS OF PAIRWISE NONCOMMUTING ELEMENTS IN FINITE p-GROUPS
Darafsheh, M. R.
Ghorbani, M.
Prajapati, S. K.
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2015, 92 (03) : 380 - 389
[42] GROUP ALGEBRAS OF FINITE GROUPS AS LIE ALGEBRAS
Marin, Ivan
COMMUNICATIONS IN ALGEBRA, 2010, 38 (07) : 2572 - 2584
[43] Finite p-groups with a minimal non-abelian subgroup of index p(Ⅱ)
AN LiJian
LI LiLi
QU HaiPeng
ZHANG QinHai
ScienceChina(Mathematics), 2014, 57 (04) : 737 - 753
[44] GROUPS OF AUTOMORPHISMS OF FINITE P-GROUPS
BOROVIK, AV
KHUKHRO, EI
MATHEMATICAL NOTES, 1976, 19 (3-4) : 245 - 255
[45] Finite p-groups with a minimal non-abelian subgroup of index p(Ⅲ)
QU HaiPeng
XU MingYao
AN LiJian
Science China(Mathematics), 2015, 58 (04) : 763 - 780
[46] CENTRALIZERS OF ELEMENTS IN P-GROUPS
THOMPSON, JG
MATHEMATISCHE ZEITSCHRIFT, 1967, 96 (04) : 292 - &
[47] Some finite p-groups with central automorphism group of minimal order
Shabani-Attar, Mehdi
JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2020, 19 (09)
[48] Intersection of maximal subgroups which are not minimal nonabelian of finite p-groups
Zhang, Lihua
COMMUNICATIONS IN ALGEBRA, 2017, 45 (08) : 3221 - 3230
[49] Finite morphic p-groups
Caranti, A.
Scoppola, C. M.
JOURNAL OF PURE AND APPLIED ALGEBRA, 2015, 219 (10) : 4635 - 4641
[50] FINITE VALUATED P-GROUPS
BEERS, D
HUNTER, R
WALKER, E
LECTURE NOTES IN MATHEMATICS, 1983, 1006 : 471 - 507

← 1 2 3 4 5 →