Finite Groups with Nilpotent Subgroups of Even Order

被引：1
作者：
Deng, Yan [1 ]
Meng, Wei [2 ]
Lu, Jiakuan [3 ]
机构：
[1] Yunnan Minzu Univ, Sch Math & Comp Sci, Kunming 650500, Yunnan, Peoples R China
[2] Guilin Univ Elect Technol, Sch Math & Comp Sci, Guilin 541004, Guangxi, Peoples R China
[3] Guangxi Normal Univ, Sch Math & Stat, Guilin 541004, Guangxi, Peoples R China
来源：
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY | 2022年 / 48卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Maximal subgroup; Second maximal subgroup; Nilpotent group; Solvable group;
D O I：
10.1007/s41980-021-00570-2
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A group G is called to be EMN-group (rep. ESMN-group) if all maximal subgroup (rep. second maximal subgroup) of G of even order are nilpotent. In this paper, we mainly investigate the structure of EMN-groups and ESMN-groups.
引用
收藏
页码：1143 / 1152
页数：10
相关论文
共 12 条
  • [1] Belonogov VA., 1968, FINITE SOLVABLE GROU, V3, P21
  • [2] Berkovic JG, 1964, MAT SBORNIK, V106, P357
  • [3] SOLVABILITY OF GROUPS OF ODD ORDER
    FEIT, W
    THOMPSON, JG
    [J]. PACIFIC JOURNAL OF MATHEMATICS, 1963, 13 (03) : 775 - &
  • [4] Gorenstein D, 1980, FNITE GROUPS
  • [5] Huppert B., 1967, ENDLICHE GRUPPEN
  • [6] Janko, 1962, MATH Z, V79, P422, DOI [10.1007/BF01193133, DOI 10.1007/BF01193133]
  • [7] Robinson D. J. S., 1996, COURSE THEORY GROUPS, V80, DOI [10.1007/978-1-4419-8594, DOI 10.1007/978-1-4419-8594]
  • [8] ROSE JS, 1965, J LONDON MATH SOC, V40, P348
  • [9] FINITE INSOLUBLE GROUPS WITH NILPOTENT MAXIMAL SUBGROUPS
    ROSE, JS
    [J]. JOURNAL OF ALGEBRA, 1977, 48 (01) : 182 - 196
  • [10] Schmidt OYu., 1924, MAT SBORNIK, V31, P366
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