Finite p-groups whose proper subgroups are of class ≤ n
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Publication:2958480
DOI10.1142/S0219498817500141zbMath1368.20013MaRDI QIDQ2958480
Pujin Li, Ji-Wen Zeng, Hai Peng Qu
Publication date: 2 February 2017
Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)
finite \(p\)-groupsnilpotency classminimal non-\(\mathcal{P}_2\) groupsminimal non-\(\mathcal{P}_n\) groups
Related Items (2)
On families of nilpotent subgroups and associated coset posets ⋮ Finite \(p\)-groups all of whose subgroups of index \(p^3\) are Abelian.
Cites Work
- A theorem on metabelian p-groups and some consequences
- Groups of prime power order. Vol. 1.
- Generalisations of a classical theorem about nilpotent groups
- Engelsche Elemente der Länge drei. (Engel elements of length three.)
- Das ``schiefe Produkt in der Gruppentheorie mit Anwendung auf die endlichen nichtkommutativen Gruppen mit lauter kommutativen echten Untergruppen und die Ordnungszahlen, zu denen nur kommutative Gruppen gehören
- Finite p-Groups of Class 3 All of Whose Proper Sections Have Class at Most 2
- A CLASSIFICATION OF FINITE p-GROUPS WHOSE PROPER SUBGROUPS ARE OF CLASS ≤ 2 (I)
- A CLASSIFICATION OF FINITE p-GROUPS WHOSE PROPER SUBGROUPS ARE OF CLASS ≤ 2 (II)
- Endliche Gruppen I
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