Group Cohomology and ${{L}^{p}}$ -Cohomology of Finitely Generated Groups
Group Cohomology and ${{L}^{p}}$ -Cohomology of Finitely Generated Groups
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群上同调和${{L}^{p}}$ -有限生成群的上同调
DOI：
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发表时间：
2002
期刊：
影响因子：
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通讯作者：
M. Puls
中科院分区：
文献类型：
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作者：
M. Puls
Abstract Let $G$ be a finitely generated, infinite group, let $p,>,1$ , and let ${{L}^{p}}left( G
ight)$ denote the Banach space $left{ sum{_{xin G}{{a}_{x}}x}|sum{_{xin G}|{{a}_{x}}{{|}^{p}}<infty }
ight}$ . In this paper we will study the first cohomology group of $G$ with coefficients in ${{L}^{p}}left( G
ight)$ , and the first reduced ${{L}^{p}}$ -cohomology space of $G$ . Most of our results will be for a class of groups that contains all finitely generated, infinite nilpotent groups.
