We prove that Calogero–Moser cells coincide with Kazhdan–Lusztig for dihedral groups in the equal parameter case.

We study the inequities in distribution of Frobenius elements Galois extensions rational numbers with groups that are either dihedral $D_{2n}$ or (generalized) quaternion $\mathbb H_{2n}$ two-power order. In spirit recent work Fiorilli and Jouve arXiv:2001.05428, we study, under natural hypotheses, some families such extensions, a horizontal aspect, where degree is fixed, vertical goes to infin...