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An Amalgamation Theorem For Soluble Groups
Published online by Cambridge University Press: 20 November 2018
Abstract
A theorem of G. Higman about the embeddability of amalgams within the class of all finite ρ-groups is generalized to classes of soluble groups. We also give best possible bounds for the solubility lengths of the constructed completions. And, as an application, the super-soluble amalgamation bases in the class of all finite soluble π-groups are determined.
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- Copyright © Canadian Mathematical Society 01
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