OpenAI reports the prime-three Kervaire family

In the standard mod-three Adams Kervaire family, exactly the classes indexed 0, 2 and 3 survive to stable homotopy, in stems 10, 106 and 322, and each surviving detection coset contains an element of additive order three.

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In the standard mod-three Adams Kervaire family, exactly the classes indexed 0, 2 and 3 survive to stable homotopy, in stems 10, 106 and 322, and each surviving detection coset contains an element of additive order three.

Why it matters

If correct, determines survival and order in the standard odd-primary Kervaire family at prime three.

What counts as progress

Which standard prime-three Adams Kervaire classes survive?

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