5 problems

Let $\Gamma_d$ be a Fabrykowski–Gupta group with $d$ prime, and let $M(G)$ denote a Schur multiplier. Fabrykowski–Gupta conjecture. The Schur multiplier of $\Gamma_d$, modulo the D…

Let $\Delta$ be the Basilica group, let $M_c(\Delta)$ be its $c$-th Dwyer quotient, and let $\mathcal A_\ell(c)$ be the abelian groups specified below. Dwyer quotient conjecture. ……

Let $\tilde{\mathfrak G}$ be the Grigorchuk super-group, and let $M_c(\tilde{\mathfrak G})$ denote its $c$-th Dwyer quotient. Dwyer quotient conjecture. … with $m\in\mathbb N$. The…

Let $\bar{\mathfrak G}$ be the twisted twin of the Grigorchuk group, and let $M_c(\bar{\mathfrak G})$ denote its $c$-th Dwyer quotient. Dwyer quotient conjecture. … with…

Let ${\mathfrak G}$ be the Grigorchuk group, and let $M_c({\mathfrak G})$ denote its $c$-th Dwyer quotient. Dwyer quotient conjecture. … with $m\in{\mathbb N}_0$. The conjecture pr…