Finite groups which have many normal subgroups
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This article is published in Journal of The Korean Mathematical Society.The article was published on 2009-11-01 and is currently open access. It has received 16 citations till now. The article focuses on the topics: Central product & Normal subgroup.read more
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Generalised norms in finite soluble groups
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.
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The number of conjugacy classes of nonnormal subgroups of finite p-groups
Lili Li,Haipeng Qu +1 more
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.
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Finite non-nilpotent generalizations of hamiltonian groups
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.
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The Classification of Finite Metahamiltonian $p$-Groups
Xingui Fang,Lijian An +1 more
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.
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Finite p -groups whose nonnormal subgroups have orders at most p 3
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.
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