Criteria for the \(p\)-solvability and \(p\)-supersolvability of finite groups.

DOI10.1134/S0001434613090137zbMath1325.20020MaRDI QIDQ2436377

Alexander N. Skiba, V. A. Kovaleva, Wen-Bin Guo, Yu Feng Liu

Publication date: 24 February 2014

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

finite groupsmaximal subgroupschief factorspermutable subgroupssolubilitysubgroup embedding propertiessupersolubilitypartial CAP-subgroupscover-avoidance propertymaximal pairs

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Series and lattices of subgroups (20D30) Products of subgroups of abstract finite groups (20D40)

Cites Work

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• Cover-avoidance properties and the structure of finite groups
• \(C\)-normality of groups and its properties
• Permutable subgroups of infinite groups
• Contributions to the theory of groups of finite order
• SUBGROUPS OF FINITE GROUPS WITH A STRONG COVER-AVOIDANCE PROPERTY
• A Note on Supersoluble Groups
• Endliche Gruppen I

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