An Amalgamation Theorem For Soluble Groups
Canadian mathematical bulletin, Tome 30 (1987) no. 1, pp. 9-18

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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.
DOI : 10.4153/CMB-1987-002-7
Mots-clés : 20F16 20E22
Leinen, Felix. An Amalgamation Theorem For Soluble Groups. Canadian mathematical bulletin, Tome 30 (1987) no. 1, pp. 9-18. doi: 10.4153/CMB-1987-002-7
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     journal = {Canadian mathematical bulletin},
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     year = {1987},
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     number = {1},
     doi = {10.4153/CMB-1987-002-7},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1987-002-7/}
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