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数学与物理
理论数学
Vol. 16 No. 3 (March 2026)
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链条件对有限群结构的影响
The Influence of the Chain Conditions on the Structure of Finite Groups
DOI:
10.12677/pm.2026.163068
,
PDF
,
被引量
作者:
曾瑜柔
,
黄泓珲
:广东工业大学数学与统计学院,广东 广州
关键词:
有限群
;
主对角子群
;
置换化子
;
超可解群
;
链条件
;
Finite Group
;
Main Diagonal Subgroup
;
Permutizer
;
Supersoluble Group
;
Chain Condition
摘要:
主要利用主对角子群的嵌入性质以及相应的链条件给出有限群超可解性的刻画。此外,还刻画了满足链条件的有限群的极大子群。
Abstract:
The hyper-solvability of finite groups is characterized primarily by employing embedding properties of chief diagonal subgroups and the corresponding chain conditions. In addition, maximal subgroups of finite groups satisfying chain conditions are also characterized.
文章引用:
曾瑜柔, 黄泓珲. 链条件对有限群结构的影响[J]. 理论数学, 2026, 16(3): 57-60.
https://doi.org/10.12677/pm.2026.163068
参考文献
[1]
Qiao, S., Qian, G. and Wang, Y. (2016) How Does Diagonal Subgroup Embedding Determine the Structure of a Group?
Communications
in
Mathematics
and
Statistics
, 4, 423-433. [
Google Scholar
] [
CrossRef
]
[2]
Huang, H., Meng, H., Qiao, S. and Su, N. (2024) The Permutizer of the Main Diagonal Subgroups in Direct Products.
Ricerche
di
Matematica
, 74, 1157-1163. [
Google Scholar
] [
CrossRef
]
[3]
Kegel, O.H. (1965) On Huppert’s Characterization of Finite Supersoluble Groups.
Proceedings of the International Conference on the Theory of Groups
, Canberra, 209-215.
[4]
Baer, R. (1940) Nilpotent Groups and Their Generalizations.
Transactions
of
the
American
Mathematical
Society
, 47, 393-434. [
Google Scholar
] [
CrossRef
]
[5]
Johnson, D.L. (1971) A Note on Supersoluble Groups.
Canadian
Journal
of
Mathematics
, 23, 562-564. [
Google Scholar
] [
CrossRef
]
[6]
Jennings, S.A. (1941) The Structure of the Group Ring of a P-Group over a Modular Field.
Transactions
of
the
American
Mathematical
Society
, 50, 175-185. [
Google Scholar
] [
CrossRef
]
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