Homology, lower central series, and hyperplane arrangements

被引：0
作者：
Richard D. Porter
Alexander I. Suciu
机构：
[1] Northeastern University,Department of Mathematics
来源：
European Journal of Mathematics | 2020年 / 6卷
关键词：
Lower central series; Tower of nilpotent quotients; Cohomology ring; Associated graded Lie algebra; Holonomy Lie algebra; Malcev Lie algebra; Hyperplane arrangement; Decomposable arrangement; 16S37; 16W70; 17B70; 20F14; 20F18; 20F40; 20J05; 55P62; 57M05;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We explore finitely generated groups by studying the nilpotent towers and the various Lie algebras attached to such groups. Our main goal is to relate an isomorphism extension problem in the Postnikov tower to the existence of certain commuting diagrams. This recasts a result of Grigory Rybnikov in a more general framework and leads to an application to hyperplane arrangements, whereby we show that all the nilpotent quotients of a decomposable arrangement group are combinatorially determined.
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页码：1039 / 1072
页数：33
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