Amalgamated products of profinite groups: Counterexamples
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- by Luis Ribes PDF
- Proc. Amer. Math. Soc. 37 (1973), 413-416 Request permission
Abstract:
If ${A_1}$ and ${A_2}$ are profinite groups with a common closed subgroup H, the profinite amalgamated product of ${A_1}$ and ${A_2}$ over H is said to exist if ${A_1}$ and ${A_2}$ are canonically embedded in the push-out of ${A_1}$ and ${A_2}$ over H in the category of profinite groups. It is proved that such products need not exist.References
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Additional Information
- © Copyright 1973 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 37 (1973), 413-416
- MSC: Primary 20F20
- DOI: https://doi.org/10.1090/S0002-9939-1973-0382463-7
- MathSciNet review: 0382463