In this note we study finite p-groups G=AB admitting a factorization by an abelian group A and a subgroup B. As a consequence of our results we prove that if B contains an abelian subgroup of index p^n, then G has derived length at most 2(n+1).
A note on a class of factorized p-groups
JABARA, Enrico
2005-01-01
Abstract
In this note we study finite p-groups G=AB admitting a factorization by an abelian group A and a subgroup B. As a consequence of our results we prove that if B contains an abelian subgroup of index p^n, then G has derived length at most 2(n+1).
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