1 citations · 3 across the 10 of their papers we have counts for
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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…
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…
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…
Locally finite -groups with a left 3-Engel element whose normal closure is not nilpotent
Anastasia Hadjievangelou, Marialaura Noce, Gunnar Traustason
For any odd prime , we give an example of a locally finite -group containing a left 3-Engel element where is not nilpotent.
A family of fractal non-contracting weakly regular branch groups
Marialaura Noce
We construct a new family of groups that is non-contracting and weakly regular branch over the derived subgroup. This gives the first example of an infinite family of groups acting…