Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 256-01. Nonsingular systems of equations over arbitrary groups
Manuscript map · lines 7445–7454
OpenAI@2026-10-07#rem:oai-p-256-01
Authors: OpenAI. Family 256.
Title: Nonsingular systems of equations over arbitrary groups.
Abstract: Every finite nonsingular system of equations over an arbitrary group has a simultaneous solution in an overgroup. This proves Howie's conjecture on nonsingular systems.
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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