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періодичних видань НАН України
A generalization of groups with many almost normal subgroups
Репозиторій DSpace/Manakin
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A generalization of groups with many almost normal subgroups
Інший ID:
2010 Mathematics Subject Classification:20C07; 20D10; 20F24.
Посилання:
A generalization of groups with many almost normal subgroups / F.G. Russo // Algebra and Discrete Mathematics. — 2010. — Vol. 9, № 1. — С. 79–85. — Бібліогр.: 21 назв. — англ.
Підтримка:
This paper is dedicated to the memory of my father and to the future of my brother
Дата:
2010
Переглядів:
566
Завантажень:
194
Анотація:
A subgroup H of a group G is called almost normal in G if it has finitely many conjugates in G. A classic result of B. H. Neumann informs us that |G:Z(G)| is finite if and only if each H is almost normal in G. Starting from this result, we investigate the structure of a group in which each non-finitely generated subgroup satisfies a property, which is weaker to be almost normal
