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math.GR2025
On minimal product-one sequences of maximal length over the non-abelian group of order
Danilo Vilela Avelar, Fabio Enrique Brochero Martínez, Sávio Ribas
Let be a finite group. A sequence over is a finite multiset of elements of , and it is called product-one if its terms can be ordered so that their product is the identi…
math.NT2025
The dynamics of a function family over quadratic extensions of finite fields
Fabio E. Brochero Martínez, Hugo R. Teixeira
Let be the finite field with elements, where is an odd prime and a positive integer. In this paper, we define the function $f(X)=(cX^q+aX)(X^{q}-X)^{…