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Fundamental Groups of Graphs of Cyclic Subgroup Separable and Weakly Potent Groups
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Algebra Colloquium 2021年 第1期28卷 119-130页
作者： M.S.M.Asri K.B.Wong P.C.Wong Institute of Mathematical Sciences Faculty of ScienceUniversity of Malaya50603 Kuala LumpurMalaysia
We give a characterization of the cyclic subgroup separability and weak potency of the fundamental group of a graph of polycyclic-by-finite groups and free-by-finite groups amalgamating edge subgroups of the form×D,w... 详细信息
来源： 维普期刊数据库 维普期刊数据库 评论
Abelian Subgroup Separability of Certain Generalized Free Products of Groups
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Algebra Colloquium 2020年 第4期27卷 651-660页
作者： Wei Zhou Goansu Kim School of Mathematics and Statistics Southwest University Chongqing 400715China Yeungnam University Kyongsan712-749Korea
We prove that generalized free products of certain abelian subgroup separable groups are abelian subgroup separable.Applying this,we show that tree products of polycyclic-by-finite groups,amalgamating central subgroup... 详细信息
来源： 维普期刊数据库 维普期刊数据库 评论
Polycyclic Groups Admitting a Regular Automorphism of Order Four
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Acta Mathematica Sinica,English Series 2017年 第4期33卷 565-570页
作者： Tao XU He Guo LIU Department of Science Hebei University of Engineering Handan 056038 P. R. China Department of Mathematics Hubei University Wuhan 430062 P. R. China
Let G be a polycyclic group and α a regular automorphism of order four of G. If the map φ: G→ G defined by g;= [g, α] is surjective, then the second derived group of G is contained in the centre of G. Abandoning t... 详细信息
来源： 维普期刊数据库 维普期刊数据库 同方期刊数据库 同方期刊数据库 评论
Subgroup Separability of Certain Generalized Free Products of Nilpotent-by-finite Groups
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Acta Mathematica Sinica,English Series 2013年 第6期29卷 1199-1204页
作者： Wei ZHOU Goansu KIM School of Mathematics and Statistics Southwest University Department of Mathematics Yeungnam University
In this paper, we show that certain generalized free products of nilpotent-by-finite groups are subgroup separable when the amalgamated subgroup is × D where D is in the center of both factors.
来源： 维普期刊数据库 维普期刊数据库 同方期刊数据库 同方期刊数据库 评论
Regular automorphisms of order p2
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Frontiers of Mathematics in China 2019年 第6期14卷 1367-1373页
作者： Tao XU Heguo LIU Department of Science Hebei University of EngineeringHandan 056038China Department of Mathematics Hubei UniversityWuhan 430062China
Let G be a group,and let a be a regular automorphism of order p2 of G,where p is a prime.If G is polycyclic-by-finite and the map φ:G→G defined by=g^φ,[g,a]is surjective,then G is soluble.If G is polycyclic,then CG... 详细信息
来源： 维普期刊数据库 维普期刊数据库 评论
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