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).
2005
55
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10278/36044
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