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A note on “New characterizations of \(p\)-supersolubility of finite groups”. (English) Zbl 1298.20023

Summary: In this note, two propositions and two examples are given to indicate that one main result in the paper mentioned in the title [J. Li, G. Chen, Y. Yan, Commun. Algebra 40, No. 12, 4372-4388 (2012; Zbl 1279.20032)] is not correct.

MSC:

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

Citations:

Zbl 1279.20032
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References:

[1] DOI: 10.1016/S0022-4049(96)00172-7 · Zbl 0928.20020 · doi:10.1016/S0022-4049(96)00172-7
[2] DOI: 10.1007/BF01195169 · Zbl 0102.26802 · doi:10.1007/BF01195169
[3] DOI: 10.1080/00927872.2011.608394 · Zbl 1279.20032 · doi:10.1080/00927872.2011.608394
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