The Kervaire Problem in Stable Homotopy Theory is a problem to classify framed immersions with Arf-invariant one. The first interesting example is in dimension 30. There exists a closed stably-parallelizable manifold \( \tilde {M}^{30}\) with Arf–Kervaire invariant 1. The goal of the chapter is to recall various geometrical constructions concerning the Kervaire Problem. In particular, we give a self-contained description of the Mahowald element in the stable homotopy group of spheres \(\Pi _{2^l}\) , \(l \ge 3\) . Using this construction, we prove that the Generalized Kervaire Problem, formulated by the author in Akhmetiev (Kervaire Problems in Stable Homotopy Theory (2016). arXiv:1608.01206v1 [math.AT]), is solved positively.