Picard groups of higher real -theory spectra at height
2017 ◽
Vol 153
(9)
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pp. 1820-1854
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Keyword(s):
Using the descent spectral sequence for a Galois extension of ring spectra, we compute the Picard group of the higher real $K$-theory spectra of Hopkins and Miller at height $n=p-1$, for $p$ an odd prime. More generally, we determine the Picard groups of the homotopy fixed points spectra $E_{n}^{hG}$, where $E_{n}$ is Lubin–Tate $E$-theory at the prime $p$ and height $n=p-1$, and $G$ is any finite subgroup of the extended Morava stabilizer group. We find that these Picard groups are always cyclic, generated by the suspension.
2013 ◽
Vol 56
(2)
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pp. 369-380
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1980 ◽
Vol 77
◽
pp. 137-143
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Keyword(s):
2018 ◽
Vol 17
(09)
◽
pp. 1850162
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2013 ◽
Vol 15
(1)
◽
pp. 191-222
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Keyword(s):
1997 ◽
Vol 146
◽
pp. 131-148
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