@article{Duan2025, 
author = {Zhipeng Duan and Hana Jia Kong and Guchuan Li and Yunze Lu and Guozhen Wang},
title = {RO(G)-Graded Homotopy Fixed Point Spectral Sequence for Height 2 Morava E-Theory},
year = {2025},
journal = {Peking Mathematical Journal},
volume = {8},
number = {4},
pages = {641-710},
keywords = {Morava E-theory, Topological modular forms, RO(G)-graded homotopy groups},
url = {https://www.sciopen.com/article/10.1007/s42543-024-00087-7},
doi = {10.1007/s42543-024-00087-7},
abstract = {We consider    G  =      Q    8    ,            SD              16        ,      G          24        , and        G          48       as finite subgroups of the Morava stabilizer group which acts on the height 2 Morava E-theory                      E              2   at the prime 2. We completely compute the G-homotopy fixed point spectral sequences of                      E              2  . Our computation uses recently developed equivariant techniques since Hill, Hopkins, and Ravenel. We also compute the    (  ∗  −      σ    i    )-graded        Q    8  - and              SD              16      -homotopy fixed point spectral sequences, where        σ    i   is a non-trivial one-dimensional representation of        Q    8  .}
}