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Algebra and Discrete Mathematics, 2011, том 11, выпуск 1, страницы 75–108
(Mi adm6)
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Эта публикация цитируется в 5 научных статьях (всего в 5 статьях)
SURVEY ARTICLE
Some related to pronormality subgroup families and the properties of a group
Vladimir V. Kirichenkoa, Leonid A. Kurdachenkob, Igor Ya. Subbotinc a Department of Geometry, School of Mechanics
and Mathematics, Kyiv National Taras
Shevchenko University, Volodymyrska, 64, Kyiv,
01033, Ukraine
b Department of Algebra, School of Mathematics
and Mechanics, National University of Dnepropetrovsk,
Gagarin Prospect 72, Dnepropetrovsk
10, 49010, Ukraine
c Department of Mathematics and Natural Sciences,
National University, 5245 Pacific Concourse
Drive, Los Angeles, CA 90045-6904, USA
Аннотация:
Some influential families of subgroups such as pronormal subgroups, contranormal subgroups, and abnormal subgroups, their generalizations, characterizations, interplays between them and the group, and their connections to other types of subgroups have been considered.
Ключевые слова:
normal subgroups, subnormal subgroup, contranormal subgroup, abnormal subgroups, pronormal subgroups, transitivity of normality, permutable subgroups, soluble group, radical group, locally graded group.
Поступила в редакцию: 14.03.2011 Исправленный вариант: 18.03.2011
Образец цитирования:
Vladimir V. Kirichenko, Leonid A. Kurdachenko, Igor Ya. Subbotin, “Some related to pronormality subgroup families and the properties of a group”, Algebra Discrete Math., 11:1 (2011), 75–108
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/adm6 https://www.mathnet.ru/rus/adm/v11/i1/p75
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