The homotopy of MString and MU<6> at large primes

Mark Hovey

We use Hopf rings to compute the homotopy rings $\pi_{*}\MO{8}$ and
$\pi_{*}\MU{6}$ at primes $>3$.  In this case, the additive structure
is well-known, but the ring structure is not polynomial.  Instead,
these rings are quotients of polynomial rings by infinite regular
sequences.