Author
Mingyao Xu
Bio: Mingyao Xu is an academic researcher. The author has contributed to research in topics: Normal subgroup & Central product. The author has an hindex of 1, co-authored 1 publications receiving 16 citations.
Topics: Normal subgroup, Central product
Papers
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16 citations
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TL;DR: In this article, a framework for generalisations of Baer's norm has been given for a class of finite nilpotent groups, where the C -norm κ C (G ) of a finite group G is defined as the intersection of the normalisers of the subgroups of G not in C.
16 citations
TL;DR: In this article, the number of conjugacy classes of nonnormal subgroups of minimal non-abelian p-groups is determined for k ≤ 2, and it is discovered that there is a new gap in the values that ν(G ) can take in the case of finite p groups.
10 citations
TL;DR: In this paper, it was shown that if G.G.G is a non-cyclic subgroup, then the subgroup A(G) is the intersection of the normalizers of all noncyclic groups of G.
Abstract: G, we dene the subgroup A(G) to be intersection of the normalizers of all non-cyclic subgroups of G. Set A0 = 1. Dene Ai+1(G)=Ai(G) = A(G=Ai(G)) for i 1. By A1 (G) denote the terminal term of the ascending series. It is proved that if G.
9 citations
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TL;DR: In this article, a complete classification of finite metahamiltonian $p$-groups is given, where all non-abelian subgroups of a group are normal.
Abstract: A group is called metahamiltonian if all non-abelian subgroups of it are normal. This concept is a natural generation of Hamiltonian groups. In this paper, a complete classification of finite metahamiltonian $p$-groups is given.
8 citations
TL;DR: In this article, the problem of finite 2-groups with subgroups having orders at most 23 has been solved, together with a known result, which is the same as the result in this paper.
Abstract: In this paper, we classify finite 2-groups all of whose nonnormal subgroups have orders at most 23. Together with a known result, we completely solved Problem 2279 proposed by Y. Berkovich and Z. Janko in Groups of Prime Power Order, Vol. 3.
8 citations