a non-abelian finite group is called sequenceable if for some positive integer , is -generated ( ) and there exist integers such that every element of is a term of the -step generalized fibonacci sequence , , , . a remarkable application of this definition may be find on the study of random covers in the cryptography. the 2-step generalized sequences for the dihedral groups studied for their pe...

We describe Galois extensions where the Galois group is the quasidihedral, dihedral or modular group of order 16, and use this description to produce generic polynomials.