On the co-Dedekindian finite p-groups with non-cyclic abelian second centre
Published online by Cambridge University Press: 18 July 2002
Extract
A group G is called co-Dedekindian if every subgroup of G is invariant under all central automorphisms of G. In this paper we give some necessary conditions for certain finite p-groups with non-cyclic abelian second centre to be co-Dedekindian. We also classify 3-generator co-Dedekindian finite p-groups which are of class 3, having non-cyclic abelian second centre with |\Omega_1(G^p)|=p.
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- Research Article
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- 2002 Glasgow Mathematical Journal Trust
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