代势完成群和反转群的同源性

Pub Date : 2023-11-29 DOI:10.1007/s11856-023-2579-4
Mikhail Basok, Sergei O. Ivanov, Roman Mikhailov
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引用次数: 0

摘要

对于一个非循环自由群 F,它的代potent 完成 \({H_2}(\widehat F)\)的第二同调不是一个扭转群。
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Homology of the pronilpotent completion and cotorsion groups

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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