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代数集刊(英文版)
《代数集刊》编辑部
代数集刊(英文版)

《代数集刊》编辑部

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1005-3867

北京中关村中科院数学所

代数集刊(英文版)/Journal Algebra ColloquiumCSCD北大核心SCI
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    On the Residual Finiteness of a Class of Infinite Soluble Groups

    Jun LiaoHeguo LiuXiaoliang LuoXingzhong Xu...
    155-164页
    查看更多>>摘要:Let A be a completely decomposable homogeneous torsion-free abelian group of rank n(n≥2).Let Θm(n)=A×(α)be the split extension of A by an automorphismα which is a cyclic permutation of the direct components twisted by a rational integer m.Then Θm(n)is an infinite soluble group.In this paper,the residual finiteness of Θm(n)is investigated.

    Finite Groups in Which Every Maximal Subgroup Is Nipotent or a TI-Subgroup or Has Order p'

    Jiangtao Shi
    165-168页
    查看更多>>摘要:We obtain a complete characterization of the structure of a finite group G in which every maximal subgroup is nilpotent or a TI-subgroup or has order p'for any fixed prime divisor p of|G|.Moreover,we show that there exists at most one prime divisor q of|G|| such that G is neither q-niilpotent nor q-closed.

    A Class of Quadratic Matrix Equations over Finite Fields

    Yin ChenXinxin Zhang
    169-180页
    查看更多>>摘要:We exhibit an explicit formula for the cardinality of solutions to a class of quadratic matrix equations over finite fields.We prove that the orbits of these solutions under the natural conjugation action of the general linear groups can be separated by classical conjugation invariants defined by characteristic polynomials.We also find a gen-erating set for the vanishing ideal of these orbits.

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