On a Factorizable Group with Large Cyclic Subgroups in Factors
We prove the supersolvability of a finite factorizable group $G = G_1 G_2 ...G_n$ with pairwise permutable factors each of which has a cyclic subgroup of odd order $H_i$ and $|G_i : H_i | ≤ 2$.
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| Datum: | 2015 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Russisch Englisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
2015
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/2040 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
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Ukrains’kyi Matematychnyi Zhurnal| Zusammenfassung: | We prove the supersolvability of a finite factorizable group $G = G_1 G_2 ...G_n$ with pairwise permutable factors each of which has a cyclic subgroup of odd order $H_i$ and $|G_i : H_i | ≤ 2$. |
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