2 citations · 2 across the 4 of their papers we have counts for
4 papers
The Complete Extended Euclidean Scheme Is Not in Piecewise Arithmetic
Amiel Ferman
We prove that the complete extended Euclidean scheme for pairs of monic univariate polynomials over a field of characteristic zero cannot be computed by polynomial-size, constant-d…
On The Structure and Automorphism Group of Finite Alexander Quandles
Amiel Ferman, Tahl Nowik, Mina Teicher
We prove that an Alexander quandle of prime order is generated by any pair of distinct elements. Furthermore, we prove for such a quandle that any ordered pair of distinct elements…
New Permutation Representations of the Braid Group
Amiel Ferman, Tahl Nowik, Robert Schwartz +1
We give a new infinite family of group homomorphisms from the braid group B_k to the symmetric group S_{mk} for all k and m \geq 2. Most known permutation representations of braids…
A Note on Braid Group Actions on Semiorthonormal Bases of Mukai Lattices
Amiel Ferman
We shed some light on the problem of determining the orbits of the braid group action on semiorthonormal bases of Mukai lattices as considered in \cite{GK04} and \cite{GO1}. We sho…