Распознавание по множеству порядков элементов знакопеременных групп степени и для простого и группы степени
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Algebra i Logika
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А.В. Заварницин, A.V. Zavarnicin, A.V. Zavarnicin, A.V. Zavarnitsyn (2000)
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В.Д. Мазуров, М.Ч. Су, Ч.П. Чао (2000)
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А.В. Васильев, A. V. Vasil'ev, A. V. Vasil'ev, A. V. Vasil'ev (1997)
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В.П. Буриченко (2000)
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С.А. Гурченков (1984)
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С.А. Чихачёв (1984)
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М.И. Каргаполов, В.Н. Ремесленников, Н.С. Романовский, В.А. Романьков, В.А. Чуркин (1969)
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Ю.Л. Ершов (1985)
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М.Г. Амаглобели, В.Н. Ремесленников (2000)
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Е.И. Хухро (2000)
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В.М. Копытов, Й. Рахунек (2003)
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А.Н. Дегтев (1976)
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Todor Tsankov (2006)
Fundamenta Mathematicae
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We study homeomorphism groups of metrizable compactifications of ℕ. All of those groups can be represented as almost zero-dimensional Polishable subgroups of the group . As a corollary, we show that all Polish groups are continuous homomorphic images of almost zero-dimensional Polishable subgroups of . We prove a sufficient condition for these groups to be one-dimensional and also study their descriptive complexity. In the last section we associate with every Polishable ideal on ℕ...
А.В. Васильева (1976)
Algebra i Logika
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Б.М. Веретенников (1983)
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А.С. Кондратьев (1988)
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Pengfei Guo, Jianjun Liu (2018)
Czechoslovak Mathematical Journal
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A group is said to be a -group if for every divisor of the order of , there exists a subgroup of of order such that is normal or abnormal in . We give a complete classification of those groups which are not -groups but all of whose proper subgroups are -groups.