For all primes p and heights n, Pic(Sp_{T(n)}) contains Z_p × Z/(a_p(p^n−1)), lifting the known K(n)-local subgroup.
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On The Telescopic Picard Group
For all primes p and heights n, Pic(Sp_{T(n)}) contains Z_p × Z/(a_p(p^n−1)), lifting the known K(n)-local subgroup.