Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 314-01. Cyclic length and chromatic fixed-point loss
Manuscript map · lines 8545–8554
OpenAI@2026-10-07#rem:oai-p-314-01
Authors: OpenAI. Family 314.
Title: Cyclic length and chromatic fixed-point loss.
Abstract: For a finite p-group G and a subgroup H, we prove that the optimal chromatic fixed-point loss equals the shortest length of a subnormal chain from H to G with cyclic quotients. The equality holds at every prime and every nonnegative height, resolving positively the equality proposed by Kuhn and Lloyd.
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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