1 citations · 3 across the 10 of their papers we have counts for
14 papers
Upper bounds for the product of element orders of finite groups
Elena Di Domenico, Carmine Monetta, Marialaura Noce
Let be a finite group of order , and denote by the product of element orders of . The aim of this work is to provide some upper bounds for depending only on…
The root extraction problem in braid group-based cryptography
María Cumplido, Delaram Kahrobaei, Marialaura Noce
The root extraction problem in braid groups is the following: given a braid and a number , find such that . In the…
Tree languages and branched groups
Laurent Bartholdi, Marialaura Noce
We study the portraits of isometries of rooted trees - the labelling of the tree, at each vertex, by the permutation of its descendants - in terms of languages. We characterize reg…
Group-based Cryptography in the Quantum Era
Delaram Kahrobaei, Ramón Flores, Marialaura Noce
In this expository article we present an overview of the current state-of-the-art in post-quantum group-based cryptography. We describe several families of groups that have been pr…
Ramification structures for quotients of the Grigorchuk groups
Marialaura Noce, Anitha Thillaisundaram
Groups associated to surfaces isogenous to a higher product of curves can be characterised by a purely group-theoretic condition, which is the existence of a so-called ramification…
-Basilica groups
Elena Di Domenico, Gustavo A. Fernández-Alcober, Marialaura Noce +1
We consider a generalisation of the Basilica group to all odd primes: the -Basilica groups acting on the -adic tree. We show that the -Basilica groups have the -congrue…