Picard groups of higher real K-theory spectra at height p - 1

Drew Heard, Akhil Mathew, Vesna Stojanoska

Research output: Contribution to journalArticlepeer-review


Using the descent spectral sequence for a Galois extension of ring spectra, we compute the Picard group of the higher real -theory spectra of Hopkins and Miller at height , for an odd prime. More generally, we determine the Picard groups of the homotopy fixed points spectra , where is Lubin-Tate -theory at the prime and height , and is any finite subgroup of the extended Morava stabilizer group. We find that these Picard groups are always cyclic, generated by the suspension.

Original languageEnglish (US)
Pages (from-to)1820-1854
Number of pages35
JournalCompositio Mathematica
Issue number9
StatePublished - Sep 1 2017


  • Galois descent
  • Picard groups
  • higher real K-theories
  • power operations

ASJC Scopus subject areas

  • Algebra and Number Theory


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