How does diagonal subgroup embedding determine the structure of a group?

DOI10.1007/S40304-016-0092-3zbMath1372.20021OpenAlexW2560135057MaRDI QIDQ2628572

Guohua Qian, ShouHong Qiao, Yan Ming Wang

Publication date: 2 June 2017

Published in: Communications in Mathematics and Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40304-016-0092-3

zbMATH Keywords

soluble groupsabelian groupsnilpotent groupssupersoluble groupsmain diagonal subgroups

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Finite nilpotent groups, (p)-groups (20D15) Subnormal subgroups of abstract finite groups (20D35) Products of subgroups of abstract finite groups (20D40)

Cites Work

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• Finite soluble groups
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• Finite minimal non-supersolvable groups decomposable into the product of two normal supersolvable subgroups.
• Abnormal depth and hypereccentric length in finite soluble groups
• PERMUTABLE DIAGONAL-TYPE SUBGROUPS OF $G\times H$
• Normally embedded subgroups in direct products
• Endliche Gruppen I

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