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- W2023112703 abstract "In recent years, in trying to generalize the normality of subgroups, (semi-)( p -)cover-avoiding subgroups were defined. Some valuable results on the structure of a finite group were set up, provided that its subgroups have the cover-avoiding property, semi-cover-avoiding property or semi- p -cover-avoiding property. Since whether a subgroup covers or avoids in a group is connected to the chief series of the group, the results look interesting. Here the authors discuss the connection between the structure of a finite group and its (semi-)( p -)cover-avoiding maximal or minimal subgroups, and obtain some sufficient conditions for a group being p -nilpotent or supersolvable." @default.
- W2023112703 created "2016-06-24" @default.
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- W2023112703 date "2009-05-01" @default.
- W2023112703 modified "2023-09-29" @default.
- W2023112703 title "Some properties of finite groups with some (semi-<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML altimg=si1.gif display=inline overflow=scroll><mml:mi>p</mml:mi></mml:math>-)cover-avoiding subgroups" @default.
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- W2023112703 doi "https://doi.org/10.1016/j.jpaa.2008.09.007" @default.
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