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Homology of the pronilpotent completion and cotorsion groups
Israel Journal of Mathematics ( IF 1 ) Pub Date : 2023-11-29 , DOI: 10.1007/s11856-023-2579-4 Mikhail Basok , Sergei O. Ivanov , Roman Mikhailov
中文翻译:
Pronilpotency 完成组和 cotorsion 组的同源性
更新日期:2023-11-29
Israel Journal of Mathematics ( IF 1 ) Pub Date : 2023-11-29 , DOI: 10.1007/s11856-023-2579-4 Mikhail Basok , Sergei O. Ivanov , Roman Mikhailov
For a non-cyclic free group F, the second homology of its pronilpotent completion \({H_2}(\widehat F)\) is not a cotorsion group.
中文翻译:
Pronilpotency 完成组和 cotorsion 组的同源性
对于非循环自由群F,其预能完备性\({H_2}(\widehat F)\)的第二个同源性不是一个扭曲群。