Abstract
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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An, L., Li, L., Qu, H. et al. Finite p-groups with a minimal non-abelian subgroup of index p (II). Sci. China Math. 57, 737–753 (2014). https://doi.org/10.1007/s11425-013-4735-5
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DOI: https://doi.org/10.1007/s11425-013-4735-5