Lower Central Series Ideal Quotients Over F_p and Z

Yael Fregier, Isaac Xia

Given a graded associative algebra $A$, its lower central series is defined by $L_1=A$ and $L_{i+1}=[L_i,A]$. We consider successive quotients $N_i(A)=M_i(A)/M_{i+1}(A)$,…