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Factoring a group as an amalgamated free product
Published online by Cambridge University Press: 09 April 2009
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Even if in a decomposition of a group the Ai are completely indecomposable, there may be another decomposition with each Cj properly contained in some Ai a proper subgroup of B. The example of Bryce ([1], p. 636) may be modified, at the cost of having one Ai = B, so that I = J and Ci > Ai for all i. It is our object to study this relationship between decompositions of a group.
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- Copyright © Australian Mathematical Society 1973
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