针对树木和家庭的Eilenberg-Ganea问题的组织

Luis Jorge S'anchez Saldana
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引用次数: 5

摘要

在有限子群族、有界虚阿贝尔群族和虚多环子群族的基础上,构造了上同维数2和几何维数3的群的新例子。我们的主要成分是由Brady-Leary-Nucinckis和Fluch-Leary以及Bass-Serre理论构建的例子。
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Groups acting on trees and the Eilenberg–Ganea problem for families
We construct new examples of groups with cohomological dimension 2 and geometric dimension 3 with respect to the families of finite subgroups, virtually abelian groups of bounded rank, and the family of virtually poly-cyclic subgroups. Our main ingredients are the examples constructed by Brady-Leary-Nucinckis and Fluch-Leary, and Bass-Serre theory.
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