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math.GR2026
A crystallographic quotient of the framed braid group and associated flat manifolds
Ênio Leite, Oscar Ocampo, Paulo Cesar Cerqueira dos Santos Júnior +1
We study the quotient of the framed braid group by the commutator subgroup of the framed pure braid group . We prove that $$ \frac{FB_n}{[FP_n,FP_n]}\cong\mathbb Z^n\r…
math.GR2026
Permutational wreath pullbacks and framed braid-type groups
Ênio Leite, Oscar Ocampo
Let be a surjective homomorphism and let be a group. We introduce the \emph{permutational wreath pullback} \[ H \wr_σG = H^n \rtimes_σG, \] where the action…