Finite Groups with Given Systems of Conditionally Seminormal Subgroups

• Published in: Lobachevskii journal of mathematics Vol. 45; no. 12; pp. 6624 - 6632
• Main Author: Trofimuk, A. A.
• Format: Journal Article
• Language: English
• Published: Moscow Pleiades Publishing 01.12.2024; Springer Nature B.V
• Subjects: Algebra; Analysis; Geometry; Group theory; Mathematical Logic and Foundations; Mathematics; Mathematics and Statistics; Probability Theory and Stochastic Processes; Subgroups; supersoluble group; 2010 Mathematics Subject Classification: 20D10, 20D20; saturated formation; conditionally seminormal subgroup; Sylow subgroup; maximal subgroup

The subgroups and are said to be cc-permutable, if permutes with for some . A subgroup of a finite group is called conditionally seminormal subgroup of , if there exists a subgroup of such that and is cc-permutable with all subgroups of . In this paper, we proved that saturated formation containing...