#### Volume 20, issue 3 (2020)

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Towards the $K(2)$–local homotopy groups of $Z$

### Prasit Bhattacharya and Philip Egger

Algebraic & Geometric Topology 20 (2020) 1235–1277
##### Bibliography
 1 J F Adams, On the groups J(X), IV, Topology 5 (1966) 21 MR198470 2 A Beaudry, The algebraic duality resolution at p = 2, Algebr. Geom. Topol. 15 (2015) 3653 MR3450774 3 A Beaudry, Towards the homotopy of the K(2)–local Moore spectrum at p = 2, Adv. Math. 306 (2017) 722 MR3581316 4 A Beaudry, M Behrens, P Bhattacharya, D Culver, Z Xu, On the tmf–resolution of Z, preprint (2019) arXiv:1909.13379 5 M Behrens, M Hill, M J Hopkins, M Mahowald, On the existence of a v232–self map on M(1,4) at the prime 2, Homology Homotopy Appl. 10 (2008) 45 MR2475617 6 P Bhattacharya, P Egger, A class of 2–local finite spectra which admit a v21–self-map, Adv. Math. 360 (2020) MR4031119 7 P Bhattacharya, P Egger, M Mahowald, On the periodic v2–self-map of A1, Algebr. Geom. Topol. 17 (2017) 657 MR3623667 8 I Bobkova, P G Goerss, Topological resolutions in K(2)–local homotopy theory at the prime 2, J. Topol. 11 (2018) 918 MR3989433 9 C Bujard, Finite subgroups of extended Morava stabilizer groups, preprint (2012) arXiv:1206.1951 10 D M Davis, M Mahowald, v1– and v2–periodicity in stable homotopy theory, Amer. J. Math. 103 (1981) 615 MR623131 11 E S Devinatz, M J Hopkins, The action of the Morava stabilizer group on the Lubin–Tate moduli space of lifts, Amer. J. Math. 117 (1995) 669 MR1333942 12 E S Devinatz, M J Hopkins, Homotopy fixed point spectra for closed subgroups of the Morava stabilizer groups, Topology 43 (2004) 1 MR2030586 13 M J Hopkins, J H Smith, Nilpotence and stable homotopy theory, II, Ann. of Math. 148 (1998) 1 MR1652975 14 J Lubin, J Tate, Formal moduli for one-parameter formal Lie groups, Bull. Soc. Math. France 94 (1966) 49 MR238854 15 M Mahowald, bo–resolutions, Pacific J. Math. 92 (1981) 365 MR618072 16 M Mahowald, The image of J in the EHP sequence, Ann. of Math. 116 (1982) 65 MR662118 17 H R Miller, On relations between Adams spectral sequences, with an application to the stable homotopy of a Moore space, J. Pure Appl. Algebra 20 (1981) 287 MR604321 18 J Morava, Noetherian localisations of categories of cobordism comodules, Ann. of Math. 121 (1985) 1 MR782555 19 D Quillen, On the formal group laws of unoriented and complex cobordism theory, Bull. Amer. Math. Soc. 75 (1969) 1293 MR253350 20 D C Ravenel, Localization with respect to certain periodic homology theories, Amer. J. Math. 106 (1984) 351 MR737778 21 D C Ravenel, Complex cobordism and stable homotopy groups of spheres, 121, Academic (1986) MR860042 22 D C Ravenel, Nilpotence and periodicity in stable homotopy theory, 128, Princeton Univ. Press (1992) MR1192553 23 C Rezk, Notes on the Hopkins–Miller theorem, from: "Homotopy theory via algebraic geometry and group representations" (editors M Mahowald, S Priddy), Contemp. Math. 220, Amer. Math. Soc. (1998) 313 MR1642902