Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 197-01. A Torsion-Free Group Algebra That Is Not Directly Finite
Manuscript map · lines 5905–5914
OpenAI@2026-10-07#rem:oai-p-197-01
Authors: OpenAI. Family 197.
Title: A Torsion-Free Group Algebra That Is Not Directly Finite.
Abstract: We construct a finitely presented torsion-free counterexample to Kaplansky's direct finiteness conjecture over the field of two elements. The group admits a finite two-dimensional classifying complex.
This abstract is a catalogue record. It is not a verification and not a premise. It does not close O.1. O.1 stays NOT_CLOSED. No quantum coefficient is admitted. No compilation is asserted.
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