The profinite genus of the groups ${\mathbb{Z}}^n⋊C_{p^2}$

Marlon Estanislau, John MacQuarrie, Anderson Porto

A formula is given for the profinite genus of groups of the form ${\mathbb{Z}}^n⋊C_{p^2}$, completing the calculation of the size of the genus of semidirect products of the f…