PROPERTIES OF THE CLASS OF FINITE GROUPS WITH P-SUBNORMAL CYCLIC PRIMARY SUBGROUPS
Abstract
The canonical local definition of the hereditary saturated formation X of all finite groups with P-subnormal cyclic primary subgroups was found in the article. The new criterion of the normal subgroup to be X-hypercentral was obtained using this definition. It was shown that the class X is closed under taking the products of P-subnormal subgroups with coprime indices.
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