Abstract
In this note we study finite p-groups G = AB admitting a factorization by an Abelian subgroup A and a subgroup B. As a consequence of our results we prove that if B contains an Abelian subgroup of index p n−1 then G has derived length at most 2n.
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Jabara, E. A Note on a Class of Factorized p-Groups. Czech Math J 55, 993–996 (2005). https://doi.org/10.1007/s10587-005-0082-1
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DOI: https://doi.org/10.1007/s10587-005-0082-1