Finite Groups with Given Systems of K-U-Subnormal Subgroups

A subgroup H of a finite group G is called U-subnormal in Kegel’s sense or K - U -subnormal in G if there exists a chain of subgroups H = H 0 ≤ H 1 ≤…≤ H t = G such that either H i −1 is normal in H i or H i /( H i −1 ) H i is supersoluble for any i = 1,…, t . We describe finite groups for which eve...

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Bibliographic Details
Published in:Ukrainian mathematical journal 2016-06, Vol.68 (1), p.57-66
Main Author: Kovaleva, V. A.
Format: Article
Language:English
Subjects:
Algebra
Analysis
Applications of Mathematics
Geometry
Mathematics
Mathematics and Statistics
Statistics
Subgroups
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Summary:A subgroup H of a finite group G is called U-subnormal in Kegel’s sense or K - U -subnormal in G if there exists a chain of subgroups H = H 0 ≤ H 1 ≤…≤ H t = G such that either H i −1 is normal in H i or H i /( H i −1 ) H i is supersoluble for any i = 1,…, t . We describe finite groups for which every 2-maximal or every 3-maximal subgroup is K - U -subnormal.
ISSN:0041-5995
1573-9376
DOI:10.1007/s11253-016-1208-3