Infinite generation conjecture for the Schur multiplier of Fabrykowski–Gupta groups

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 Dwyer-kernel, is infinitely generated and $d$-elementary abelian. The conjecture is motivated by the observed rank patterns of the Dwyer quotients for several prime values of $d$; it asserts infinite generation but does not provide a complete formula for those ranks.