Isomorphism Conjecture for Baumslag-Solitar groups
Tom Farrell, Xiaolei Wu
TL;DR
This paper proves the K- and L-theoretical Isomorphism Conjecture for Baumslag-Solitar groups, advancing understanding of their algebraic K- and L-theory properties.
Contribution
It establishes the conjecture for Baumslag-Solitar groups, a significant class of groups, with coefficients in an additive category, which was previously unresolved.
Findings
Proved the Isomorphism Conjecture for Baumslag-Solitar groups
Extended the conjecture to coefficients in an additive category
Contributed to the algebraic K- and L-theory understanding of these groups
Abstract
In this paper, we prove the K- and L-theoretical Isomorphism Conjecture for Baumslag-Solitar groups with coefficients in an additive category.
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Taxonomy
TopicsGeometric and Algebraic Topology · Homotopy and Cohomology in Algebraic Topology · Finite Group Theory Research