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Finite 2-groups with a non-Dedekind non-metacyclic norm of Abelian non-cyclic subgroups
Authors: 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.Fedir Lyman
Herasyma Kondratieva, 134, ap. 64, Sumy, 40021, Ukraine
E-mail:
Tetyana Lukashova
Kotlyarevskoho, 2/7, ap.1, Sumy, 40013, Ukraine
E-mail:
Marina Drushlyak
Lysenko, 12, ap.71, Sumy, 40013, Ukraine
E-mail:
Herasyma Kondratieva, 134, ap. 64, Sumy, 40021, Ukraine
E-mail:
Tetyana Lukashova
Kotlyarevskoho, 2/7, ap.1, Sumy, 40013, Ukraine
E-mail:
Marina Drushlyak
Lysenko, 12, ap.71, Sumy, 40013, Ukraine
E-mail:
Fulltext
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Contents
- Finite 2-groups with a non-Dedekind non-metacyclic norm of Abelian non-cyclic subgroups
- n-Torsion Regular Rings
- On invariant submanifolds of S-manifolds
- On fully idempotent semimodules
- On generalization of the notion of Moufang loop to n-ary case
- Finite Non-commutative Associative Algebras for Setting the Hidden Discrete Logarithm Problem and Post-quantum Cryptoschemes on its Base
- On the number of topologies on countable fields
- Isohedral tilings by 14-, 16- and 18-gons for hyperbolic translation group of genus two
- A note on almost contact metric 2- and 3-hypersurfaces in W_4-manifolds
- Morita contexts and closure operators in modules
- Examples of bipartite graphs which are not cyclically-interval colorable
- Academician Vladimir Arnautov 80th anniversary
