Finite Groups with Nilpotent Subgroups of Even Order
被引:1
|
作者:
Deng, Yan
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机构:
Yunnan Minzu Univ, Sch Math & Comp Sci, Kunming 650500, Yunnan, Peoples R ChinaYunnan Minzu Univ, Sch Math & Comp Sci, Kunming 650500, Yunnan, Peoples R China
Deng, Yan
[1
]
Meng, Wei
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机构:
Guilin Univ Elect Technol, Sch Math & Comp Sci, Guilin 541004, Guangxi, Peoples R ChinaYunnan Minzu Univ, Sch Math & Comp Sci, Kunming 650500, Yunnan, Peoples R China
Meng, Wei
[2
]
Lu, Jiakuan
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机构:
Guangxi Normal Univ, Sch Math & Stat, Guilin 541004, Guangxi, Peoples R ChinaYunnan Minzu Univ, Sch Math & Comp Sci, Kunming 650500, Yunnan, Peoples R China
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
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.
机构:
Univ Studi Firenze, Dipartimento Matemat & Informat U Dini, Viale Morgagni 67A, I-50134 Florence, ItalyUniv Studi Firenze, Dipartimento Matemat & Informat U Dini, Viale Morgagni 67A, I-50134 Florence, Italy
机构:
Eotvos Lorand Univ, Dept Algebra & Number Theory, Pazmany Peter Setany 1-C, H-1117 Budapest, Hungary
Hungarian Acad Sci, Alfred Renyi Inst Math, Realtanoda Utca 13-15, H-1053 Budapest, HungaryEotvos Lorand Univ, Dept Algebra & Number Theory, Pazmany Peter Setany 1-C, H-1117 Budapest, Hungary
Halasi, Zoltan
Maroti, Attila
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机构:
Hungarian Acad Sci, Alfred Renyi Inst Math, Realtanoda Utca 13-15, H-1053 Budapest, HungaryEotvos Lorand Univ, Dept Algebra & Number Theory, Pazmany Peter Setany 1-C, H-1117 Budapest, Hungary
Maroti, Attila
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机构:
Navarro, Gabriel
Tiep, Pham Huu
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h-index: 0
机构:
Rutgers State Univ, Dept Math, Piscataway, NJ 08854 USAEotvos Lorand Univ, Dept Algebra & Number Theory, Pazmany Peter Setany 1-C, H-1117 Budapest, Hungary