Results 11 to 20 of about 44 (42)
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The structure of metahamiltonian groups
Japanese Journal of Mathematics, 2023A group is called metahamiltonian if all its non-abelian subgroups are normal. The aim of this paper is to provide an exhaustive and self-contained reference to the structure of metahamiltonian groups. Moreover, the authors fix some relevant mistakes appearing in the literature.
Brescia M., Ferrara M., Trombetti M.
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GROUPS WHOSE NONNORMAL SUBGROUPS ARE METAHAMILTONIAN
Bulletin of the Australian Mathematical Society, 2019If $\mathfrak{X}$ is a class of groups, we define a sequence $\mathfrak{X}_{1},\mathfrak{X}_{2},\ldots ,\mathfrak{X}_{k},\ldots$ of group classes by putting $\mathfrak{X}_{1}=\mathfrak{X}$ and choosing $\mathfrak{X}_{k+1}$ as the class of all groups whose nonnormal subgroups belong to $\mathfrak{X}_{k}$. In particular, if $\mathfrak{A}$ is the class of
DARIO ESPOSITO +2 more
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On a class of metahamiltonian groups
Ricerche di Matematica, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
DE FALCO, MARIA +2 more
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Groups Whose Finite Homomorphic Images are Metahamiltonian
Communications in Algebra, 2009A group G is metahamiltonian if all its non-abelian subgroups are normal. It is proved here that a finitely generated soluble group is metahamiltonian if and only if all its finite homomorphic images are metahamiltonian; the behaviour of soluble minimax groups with metahamiltonian finite homomorphic images is also investigated.
DE FALCO, MARIA +2 more
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Structure of solvable nonnilpotent metahamiltonian groups
Mathematical Notes of the Academy of Sciences of the USSR, 1983A group is called metahamiltonian if any nonabelian subgroup of it is invariant. A complete description of the structure of solvable nonnilpotent metahamiltonian groups is given. This improves results of \textit{V. T. Nagrebetskij} [Mat. Zap. 6, No.1, 80-88 (1967; Zbl 0315.20022)].
Kuzennyj, N. F., Semko, N. N.
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Ukrainian Mathematical Journal, 1989
A group is said to be metahamiltonian if every nonabelian subgroup in it is invariant. The main theorem provides a complete description of periodic metabelian metahamiltonian groups with an elementary commutator subgroup of rank three.
Kuzennyj, N. F., Semko, N. N.
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A group is said to be metahamiltonian if every nonabelian subgroup in it is invariant. The main theorem provides a complete description of periodic metabelian metahamiltonian groups with an elementary commutator subgroup of rank three.
Kuzennyj, N. F., Semko, N. N.
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Structure of periodic metabelian metahamiltonian groups with a nonelementary commutator subgroup
Ukrainian Mathematical Journal, 1987Metahamiltonian groups, i.e., groups in which each nonabelian subgroup is invariant, are a natural generalization of Hamiltonian groups. The present article describes the structure of periodic metabelian metahamiltonian groups with a nonelementary commutator subgroup. It turns out that there exist four types of such groups.
Kuzennyj, N. F., Semko, N. N.
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On some generalization of metahamiltonian groups.
2009Summary: Locally step groups in which all subgroups are normal or have Chernikov derived subgroup are studied.
Semko, N.N., Yarovaya, O.A.
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Cancer statistics for African American/Black People 2022
Ca-A Cancer Journal for Clinicians, 2022Angela Giaquinto +2 more
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