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On ℱ-residuals of finite groups
Published online by Cambridge University Press: 17 April 2009
Abstract
We prove that there exists a soluble, saturated and s-closed formation ℱ of groups such that the class (Gℱ | G is a group, Gℱ is the ℱ-residual of G) is not closed under subdirect products. This result a negative answer to an open problems recently proposed by L.A. Shemetkov in 1998.
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- Research Article
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- Copyright © Australian Mathematical Society 2002