p-Basilica Groups
E Di Domenico, GA Fernández-Alcober, M Noce… - … Journal of Mathematics, 2022 - Springer
We consider a generalisation of the Basilica group to all odd primes: the p-Basilica groups
acting on the p-adic tree. We show that the p-Basilica groups have the p-congruence …
acting on the p-adic tree. We show that the p-Basilica groups have the p-congruence …
On finitely generated Engel branch groups
JM Petschick - Journal of the London Mathematical Society, 2024 - Wiley Online Library
We construct finitely generated Engel branch groups, answering a question of Fernández‐
Alcober, Noce and Tracey on the existence of such objects. In particular, the groups …
Alcober, Noce and Tracey on the existence of such objects. In particular, the groups …
Algorithmic problems in Engel groups and cryptographic applications
D Kahrobaei, M Noce - arXiv preprint arXiv:2001.11577, 2020 - arxiv.org
The theory of Engel groups plays an important role in group theory since these groups are
closely related to the Burnside problems. In this survey we consider several classical and …
closely related to the Burnside problems. In this survey we consider several classical and …
[HTML][HTML] Engel elements in weakly branch groups
GA Fernandez-Alcober, M Noce, GM Tracey - Journal of Algebra, 2020 - Elsevier
We study properties of Engel elements in weakly branch groups, lying in the group of
automorphisms of a spherically homogeneous rooted tree. More precisely, we prove that the …
automorphisms of a spherically homogeneous rooted tree. More precisely, we prove that the …