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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2019, Number 1, Pages 3–19 (Mi basm496)  

This article is cited in 1 scientific paper (total in 1 paper)

Finite $2$-groups with a non-Dedekind non-metacyclic norm of Abelian non-cyclic subgroups

Fedir Lyman, Tetyana Lukashova, Marina Drushlyak
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Abstract: The authors study finite $2$-groups with non-Dedekind non-metacyclic norm $N_{G}^{A}$ of Abelian non-cyclic subgroups depending on the cyclicness or the non-cyclicness of the center of a group $G$. The norm $N_{G}^{A}$ is defined as the intersection of the normalizers of Abelian non-cyclic subgroups of $G$. It is found out that such $2$-groups are cyclic extensions of their norms of Abelian non-cyclic subgroups. Their structure is described.
Keywords and phrases: finite group, non-Dedekind group, non-metacyclic group, norm of group, norm of Abelian non-cyclic subgroups.
Received: 01.07.2017
Document Type: Article
MSC: 20D25
Language: English
Citation: Fedir Lyman, Tetyana Lukashova, Marina Drushlyak, “Finite $2$-groups with a non-Dedekind non-metacyclic norm of Abelian non-cyclic subgroups”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2019, no. 1, 3–19
Citation in format AMSBIB
\Bibitem{LymLukDru19}
\by Fedir~Lyman, Tetyana~Lukashova, Marina~Drushlyak
\paper Finite $2$-groups with a non-Dedekind non-metacyclic norm of Abelian non-cyclic subgroups
\jour Bul. Acad. \c Stiin\c te Repub. Mold. Mat.
\yr 2019
\issue 1
\pages 3--19
\mathnet{http://mi.mathnet.ru/basm496}
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  • This publication is cited in the following 1 articles:
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