Homology of the pronilpotent completion and cotorsion groups

IF 0.8 2区数学 Q2 MATHEMATICS

Israel Journal of Mathematics Pub Date : 2023-11-29 DOI:10.1007/s11856-023-2579-4

Mikhail Basok, Sergei O. Ivanov, Roman Mikhailov

引用次数: 0

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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代势完成群和反转群的同源性

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。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Israel Journal of Mathematics 数学-数学

CiteScore

1.70

自引率

10.00%

发文量

审稿时长

6 months

期刊介绍： The Israel Journal of Mathematics is an international journal publishing high-quality original research papers in a wide spectrum of pure and applied mathematics. The prestigious interdisciplinary editorial board reflects the diversity of subjects covered in this journal, including set theory, model theory, algebra, group theory, number theory, analysis, functional analysis, ergodic theory, algebraic topology, geometry, combinatorics, theoretical computer science, mathematical physics, and applied mathematics.