The Bredon-Landweber Region in $C_2$-Equivariant Stable Homotopy Groups
Documenta mathematica, Tome 25 (2020), pp. 1865-1880.

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We use the $C_2$-equivariant Adams spectral sequence to compute part of the $C_2$-equivariant stable homotopy groups $\pi^{C_2}_{n,n}$. This allows us to recover results of Bredon and Landweber on the image of the geometric fixed-points map $\pi^{C_2}_{n,n} \rightarrow \pi_0$. We also recover results of Mahowald and Ravenel on the Mahowald root invariants of the elements $2^k$.
Classification : 55Q91, 55T15, 14F42, 55Q45
Keywords: equivariant stable homotopy group, Mahowald root invariant, Adams spectral sequence
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     author = {Guillou, Bertrand J. and Isaksen, Daniel C.},
     title = {The {Bredon-Landweber} {Region} in {\(C_2\)-Equivariant} {Stable} {Homotopy} {Groups}},
     journal = {Documenta mathematica},
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Guillou, Bertrand J.; Isaksen, Daniel C. The Bredon-Landweber Region in \(C_2\)-Equivariant Stable Homotopy Groups. Documenta mathematica, Tome 25 (2020), pp. 1865-1880. http://geodesic.mathdoc.fr/item/DOCMA_2020__25__a20/