Abstract
For a non-cyclic free group F, the second homology of its pronilpotent completion \({H_2}(\widehat F)\) is not a cotorsion group.
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Acknowledgements
We would like to thank Fedor Petrov for discussions and the anonymous referee for helpful comments and suggestions on the first version of the manuscript. The work is supported by the grant of the Government of the Russian Federation for the state support of scientific research carried out under the supervision of leading scientists, agreement 14.W03.31.0030 dated 15.02.2018. The work was also supported by the Ministry of Science and Higher Education of the Russian Federation (agreement no. 075-15-2022-287).
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Basok, M., Ivanov, S.O. & Mikhailov, R. Homology of the pronilpotent completion and cotorsion groups. Isr. J. Math. (2023). https://doi.org/10.1007/s11856-023-2579-4
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DOI: https://doi.org/10.1007/s11856-023-2579-4