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The influence of arrangement of subgroups on the group structure


Abstract


Investigation of groups satisfying certain related to arrangement of subgroups conditions allows algebraists to introduce and describe many important classes of groups. Most of these conditions are based on the fundamental notion of normality and built with the help of this concept di erent subgroup chains (series). Some of important results obtained on this way we will discuss in the current survey

DOI Code: 10.1285/i15900932v36suppl1p51

Keywords: Arrangement of subgroups; abnormal subgroups; pronormal subgroups; criteria of nilpotency; transitivity of normality

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