Full Article: PDF
Scientific Object Identifier: http://s-o-i.org/1.1/TAS-01-93-19
DOI: https://dx.doi.org/10.15863/TAS.2021.01.93.19
Language: Russian
Citation: Gorepekina, A. A., & Sorokina, M. M. (2021). On finite ?-minimal non-?? -groups for (-foliated formation ??. ISJ Theoretical & Applied Science, 01 (93), 112-116. Soi: http://s-o-i.org/1.1/TAS-01-93-19 Doi: https://dx.doi.org/10.15863/TAS.2021.01.93.19 |
Pages: 112-116
Published: 30.01.2021
Abstract: Only finite groups are considered. Properties of ?-minimal non- ?? -groups are studied for the ? - foliated formation ??, where ? is a subgroup functor. A group G is called a ?-minimal non- ?? -group if ?????, but every proper ?-subgroup of G belongs to the class ??. We have established necessary and sufficient conditions under which a group G is a ?-minimal non- ?? -group. We have researched the influence of the properties of ?-minimal non- ?? -groups on the structure of the ?-foliated formation ??.
Key words: a finite group, a class of groups, a formation, an ?-foliated formation, a ?-minimal non- ?? -group.
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