We identify seven new $192$-periodic infinite families of elements in the $2$-primary stable homotopy groups of spheres, whose images are nontrivial in the K(2)- as well as the T(2)-local stable stems. We also obtain new information about $2$-torsion and $2$-divisibility of some of the known $192$-periodic infinite families in the stable stems.
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Bhattacharya et al. (2024) studied this question.
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