MINIMAL NON-NILPOTENT GROUPS WHICH ARE SUPERSOLVABLE

被引：0

作者：

Russo, Francesco G. ^{[1
,2
]}

机构：

[1] Univ Molise, Lab Dinam Strutturale & Geotecn Strega, Via Duca Abruzzi, I-86039 Termoli, CB, Italy

[2] Univ Palermo, Dipartimento Matemat & Applicaz, I-90123 Palermo, Italy

来源：

JP JOURNAL OF ALGEBRA NUMBER THEORY AND APPLICATIONS | 2010年 / 18卷 / 01期

关键词：

minimal non-nilpotent groups; Schmidt groups; critical groups; groups with many nilpotent subgroups;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The structure of a group, which is not nilpotent but all of whose proper subgroups are nilpotent, has attracted the interest of several authors both in the finite case as well as in the infinite case. The present paper generalizes some classic descriptions of the infinite case.

引用

页码：79 / 88

页数：10

共 50 条

[11] Groups with few non-nilpotent subgroups
Smith, H
GLASGOW MATHEMATICAL JOURNAL, 1997, 39 : 141 - 151
[12] On finite groups with non-nilpotent subgroups
Lu, Jiakuan
Meng, Wei
MONATSHEFTE FUR MATHEMATIK, 2016, 179 (01): : 99 - 103
[13] On finite groups in which every non-nilpotent maximal invariant subgroup is normal
Shi, Jiangtao
Liu, Yifan
JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2025, 24 (06)
[14] CLASSES OF GROUPS WITH MINIMALLY NON-NILPOTENT CRITICAL GROUPS
KRAMER, OU
MANUSCRIPTA MATHEMATICA, 1979, 27 (02) : 113 - 123
[15] Groups with the maximum condition on non-nilpotent subgroups
Dixon, MR
Kurdachenko, LA
JOURNAL OF GROUP THEORY, 2001, 4 (01) : 75 - 87
[16] Locally nilpotent groups with the maximum condition on non-nilpotent subgroups
Dixon, MR
Kurdachenko, LA
GLASGOW MATHEMATICAL JOURNAL, 2001, 43 : 85 - 102
[17] NON-NILPOTENT SUBGROUPS OF LOCALLY GRADED GROUPS
Zarrin, Mohammad
COLLOQUIUM MATHEMATICUM, 2015, 138 (01) : 145 - 148
[18] The structure of non-nilpotent CTI-groups
Mousavi, Hamid
Rastgoo, Tahereh
Zenkov, Viktor
JOURNAL OF GROUP THEORY, 2013, 16 (02) : 249 - 261
[19] Soluble groups isomorphic to their non-nilpotent subgroups
Smith, H
Wiegold, J
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS, 1999, 67 : 399 - 411
[20] FINITE NON-NILPOTENT GENERALIZATIONS OF HAMILTONIAN GROUPS
Shen, Zhencai
Shi, Wujie
Zhang, Jinshan
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2011, 48 (06) : 1147 - 1155

← 1 2 3 4 5 →