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періодичних видань НАН України
періодичних видань НАН України
On the structure of some groups having finite contranormal subgroups
Репозиторій DSpace/Manakin
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On the structure of some groups having finite contranormal subgroups
Інший ID:
DOI:10.12958/adm1724
2020 MSC: 20E99, 20F18, 20F19.
2020 MSC: 20E99, 20F18, 20F19.
Посилання:
On the structure of some groups having finite contranormal subgroups / L.A. Kurdachenko, N.N. Semko // Algebra and Discrete Mathematics. — 2021. — Vol. 31, № 1. — С. 109–119. — Бібліогр.: 9 назв. — англ.
Підтримка:
Dedicated to the 60th anniversary of the Department of Algebra and Mathematical Logic of Taras Shevchenko National University of Kyiv
The first author is supported by the National Research Foundation of Ukraine (grant no. 2020.02/0066).
Дата:
2021
Переглядів:
206
Завантажень:
156
Анотація:
Following J.S. Rose, a subgroup H of the group G is said to be contranormal in G, if G = Hᴳ. In a certain sense, contranormal subgroups are antipodes to subnormal subgroups. We study the structure of Abelian-by-nilpotent groups having a finite proper contranormal p-subgroup.
