Abstract
Let G be a finite p-group. If the order of the derived subgroup of each proper subgroup of G divides p i, G is called a D i -group. In this paper, we give a characterization of all D 1-groups. This is an answer to a question introduced by Berkovich.
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Zhang, J., Li, X. Finite p-groups all of whose proper subgroups have small derived subgroups. Sci. China Math. 53, 1357–1362 (2010). https://doi.org/10.1007/s11425-010-0010-1
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DOI: https://doi.org/10.1007/s11425-010-0010-1