A note on the bound for the class of certain nilpotent groups
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作者:
Qu, Haipeng
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机构:
Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China
Shanxi Normal Univ, Sch Math & Comp Sci, Taiyuan 030092, Shanxi, Peoples R ChinaLanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China
Qu, Haipeng
[1
,2
]
Gao, Jixia
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机构:
Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R ChinaLanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China
Gao, Jixia
[1
]
机构:
[1] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China
[2] Shanxi Normal Univ, Sch Math & Comp Sci, Taiyuan 030092, Shanxi, Peoples R China
Nilpotency class;
nilpotent groups;
the bound of nilpotency class;
D O I:
10.1080/00927872.2023.2285500
中图分类号:
O1 [数学];
学科分类号:
0701 ;
070101 ;
摘要:
Assume G is a nilpotent group of class > 3 in which every proper subgroup has class at most 3. In this note, we give the exact upper bound of class of G.
机构:
Mathematics DepartmentTeacher Training University49 Mofateh Ave.Tehran 15614IranMathematics DepartmentTeacher Training University49 Mofateh Ave.Tehran 15614Iran
H.DOOSTIE
A.T.ADNANI
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机构:
Mathematics Section Doctoral Research DepartmentIslamic Azad UniversityMathematics DepartmentTeacher Training University49 Mofateh Ave.Tehran 15614Iran
机构:
Univ Manchester, Dept Math, Alan Turing Bldg, Manchester M13 9PL, Lancs, EnglandUniv Manchester, Dept Math, Alan Turing Bldg, Manchester M13 9PL, Lancs, England
机构:
Tel Aviv Univ, Dept Math, Raymond & Beverly Sackler Fac Exact Sci, Tel Aviv, IsraelTel Aviv Univ, Dept Math, Raymond & Beverly Sackler Fac Exact Sci, Tel Aviv, Israel
Freiman, Gregory A.
Herzog, Marcel
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机构:
Tel Aviv Univ, Dept Math, Raymond & Beverly Sackler Fac Exact Sci, Tel Aviv, IsraelTel Aviv Univ, Dept Math, Raymond & Beverly Sackler Fac Exact Sci, Tel Aviv, Israel
Herzog, Marcel
Longobardi, Patrizia
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机构:
Univ Salerno, Dipartimento Matemat, Via Giovanni Paolo 2, I-84084 Salerno, ItalyTel Aviv Univ, Dept Math, Raymond & Beverly Sackler Fac Exact Sci, Tel Aviv, Israel
Longobardi, Patrizia
Maj, Mercede
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机构:
Univ Salerno, Dipartimento Matemat, Via Giovanni Paolo 2, I-84084 Salerno, ItalyTel Aviv Univ, Dept Math, Raymond & Beverly Sackler Fac Exact Sci, Tel Aviv, Israel
Maj, Mercede
Stanchescu, Yonutz V.
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机构:
Open Univ Israel, IL-43107 Raanana, Israel
Afeka Acad Coll, IL-69107 Tel Aviv, IsraelTel Aviv Univ, Dept Math, Raymond & Beverly Sackler Fac Exact Sci, Tel Aviv, Israel