Solving the isomorphism problems for two families of parafree groups

DOI10.1016/j.jalgebra.2021.06.021OpenAlexW3174548446MaRDI QIDQ2042946

Haimiao Chen

Publication date: 22 July 2021

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.01412

zbMATH Keywords

isomorphism problemcharacter variety\(\mathrm{GL}(2,\mathbb{C})\)-representationcohomology jump locusparafree group

Mathematics Subject Classification ID

Homological methods in group theory (20J05) Supervarieties (14M30) Free nonabelian groups (20E05) Residual properties and generalizations; residually finite groups (20E26) Homotopy theory and fundamental groups in algebraic geometry (14F35) Derived series, central series, and generalizations for groups (20F14) Homology with local coefficients, equivariant cohomology (55N25) Group theory and generalizations (20-XX)

Cites Work

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• Bieri-Neumann-Strebel-Renz invariants and homology jumping loci
• Varieties of representations of finitely generated groups
• The isomorphism problem for a class of para-free groups
• Experimenting with Infinite Groups, I
• Isomorphism Classes and Derived Series of Certain Almost-Free Groups
• Some groups that are just about free
• Groups with the Same lower Central Sequence as a Relatively Free Group. II. Properties

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