Finite p-groups with a minimal non-abelian subgroup of index p (II)

Finite p-groups with a minimal non-abelian subgroup of index p (II)

We classify completely three-generator finite p -groups G such that Φ( G ) ⩽ Z ( G ) and | G ′| ⩽ p 2 . This paper is a part of the classification of finite p -groups with a minimal non-abelian subgroup of index p , and solve partly a problem proposed by Berkovich.

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Veröffentlicht in:Science China. Mathematics 2014-04, Vol.57 (4), p.737-753
Hauptverfasser: An, LiJian, Li, LiLi, Qu, HaiPeng, Zhang, QinHai
Format: Artikel
Sprache:eng
Schlagworte:
Applications of Mathematics
China
Classification
Mathematical analysis
Mathematics
Mathematics and Statistics
Subgroups
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Zusammenfassung:We classify completely three-generator finite p -groups G such that Φ( G ) ⩽ Z ( G ) and | G ′| ⩽ p 2 . This paper is a part of the classification of finite p -groups with a minimal non-abelian subgroup of index p , and solve partly a problem proposed by Berkovich.
ISSN:1674-7283
1869-1862
DOI:10.1007/s11425-013-4735-5