@article{ea717543264940e882111062b8d1fe5a,

title = "Picard groups of higher real K-theory spectra at height p - 1",

abstract = "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.",

keywords = "Galois descent, Picard groups, higher real K-theories, power operations",

author = "Drew Heard and Akhil Mathew and Vesna Stojanoska",

note = "Funding Information: The first and third authors thank the Max-Planck Institute for Mathematics in Bonn for its support and hospitality. The second author thanks the Hausdorff Institute of Mathematics in Bonn for hospitality during the time which much of this research was conducted. The second author was partially supported by the NSF Graduate Research Fellowship under grant DGE-1144152. The third author was partially supported by NSF grant DMS-1606479. This journal is {\textcopyright}c Foundation Compositio Mathematica 2017. Publisher Copyright: {\textcopyright} The Authors 2017.",

year = "2017",

month = sep,

day = "1",

doi = "10.1112/S0010437X17007242",

language = "English (US)",

volume = "153",

pages = "1820--1854",

journal = "Compositio Mathematica",

issn = "0010-437X",

publisher = "Cambridge University Press",

number = "9",

}