The \(\mathfrak F\)-normalizers of a finite soluble group
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Publication:2530752
DOI10.1016/0021-8693(67)90034-8zbMath0167.29201OpenAlexW2077624145MaRDI QIDQ2530752
Trevor Hawkes, Roger W. Carter
Publication date: 1967
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0021-8693(67)90034-8
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Cites Work
- Unnamed Item
- Unnamed Item
- Zur Theorie der endlichen auflösbaren Gruppen
- Nilpotent self-normalizing subgroups of soluble groups
- Kennzeichnung gesättigter Formationen
- Über die \(\Phi\)-Untergruppe endlicher Gruppen
- Normalteiler und maximale Untergruppen endlicher Gruppen
- Splitting Properties of Soluble Groups
- Nilpotent Self-Normalizing Subgroups and System Normalizers
- On a Class of Finite Soluble Groups
- Normalizers of System Normalizers
- On the System Normalizers of a Soluble Group
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