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[GMV98] H · 1994

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On the Farrell--Tate $K$-theory of $\text{Out}(F_n)$

math.AT · 2025-05-27 · accept · novelty 7.0

For every prime p at least 11, the p-adic Farrell-Tate K-theory of Out(F_{p+1}) has an odd summand of dimension (p-7)(p-5)/24, yielding the first computer-free odd class in K^1(BOut(F_{12})) tensor Q.

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  • On the Farrell--Tate $K$-theory of $\text{Out}(F_n)$ math.AT · 2025-05-27 · accept · none · ref 2000

    For every prime p at least 11, the p-adic Farrell-Tate K-theory of Out(F_{p+1}) has an odd summand of dimension (p-7)(p-5)/24, yielding the first computer-free odd class in K^1(BOut(F_{12})) tensor Q.