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2016•Rendiconti del Seminario Matematico della Università di PadovaOpen access

On finite $p$-groups that are the product of a subgroup of class two and an abelian subgroup of order $p^3$

Brendan McCann

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Abstract

In this note it is shown that if G = AB is a finite p -group that is the product of an abelian subgroup A of order p^3 and a subgroup B of nilpotency class two, then G can have derived length at most three.

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In this note it is shown that if G = AB is a finite p -group that is the product of an abelian subgroup A of order p^3 and a subgroup B of nilpotency class two, then G can have derived length at most three.

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Available abstract

In this note it is shown that if G = AB is a finite p -group that is the product of an abelian subgroup A of order p^3 and a subgroup B of nilpotency class two, then G can have derived length at most three.

Key concepts: Omega and agemo subgroup, Characteristic subgroup, Commutator subgroup, Mathematics, Torsion subgroup, Order (exchange), Fitting subgroup, Class (philosophy)

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