Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 309-01. The Kervaire invariant problem at the prime three
Manuscript map · lines 8495–8504
OpenAI@2026-10-07#rem:oai-p-309-01
Authors: OpenAI. Family 309.
Title: The Kervaire invariant problem at the prime three.
Abstract: We solve the Kervaire invariant problem at the prime three for the standard Kervaire classes in the mod-three Adams spectral sequence. These classes survive precisely at indices 0, 2, and 3, and each surviving detection coset contains an element of additive order three. In particular, there is an order-three Kervaire element in stem 322.
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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