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Can I read On a question of T. Hawkes on EtoBox?
On a question of T. Hawkes by Viachaslau I. Murashka is a Mathematics article available to read on EtoBox.
What is On a question of T. Hawkes about?
Hawkes proved that for every soluble finite group the intersection of the Fitting subgroup with a G-crucial maximal subgroup is its Fitting subgroup where G is a skeletal class of soluble groups. He suggested that this result might spring from a more general one. We prove that all hereditary Fitting classes F of soluble groups such that for every soluble finite group the intersection of the F-radical with an S-crucial maximal subgroup is its F-radical, where S is the least by inclusion skeletal class of soluble groups, are exactly classes of all σ -nilpotent soluble finite groups.
Who reads On a question of T. Hawkes?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Viachaslau I. Murashka
- Publisher
- Springer Science and Business Media LLC
- Published
- 2023
- Language
- EN
- Field
- Mathematics (Physical Sciences)