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Ultima descărcare din IBN: 2020-10-28 12:31 |
Căutarea după subiecte similare conform CZU |
512.542+512.544 (1) |
Алгебра (401) |
SM ISO690:2012 LYMAN, Fedir, LUKASHOVA, Tetyana, DRUSHLYAK, Marina. Finite 2-groups with a non-Dedekind non-metacyclic norm of Abelian non-cyclic subgroups. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2019, nr. 1(89), pp. 3-19. ISSN 1024-7696. |
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica | ||||||
Numărul 1(89) / 2019 / ISSN 1024-7696 /ISSNe 2587-4322 | ||||||
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CZU: 512.542+512.544 | ||||||
MSC 2010: 20D25. | ||||||
Pag. 3-19 | ||||||
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Rezumat | ||||||
The authors study finite 2-groups with non-Dedekind non-metacyclic norm NAG of Abelian non-cyclic subgroups depending on the cyclicness or the noncyclicness of the center of a group G. The norm NAG 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. |
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Cuvinte-cheie finite group, Non-, Dedekind group, non-metacyclic group, norm of group, norm of, Abelian non-cyclic subgroups. |
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