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math.GR2026
Strong conciseness in profinite metabelian groups
Andoni Zozaya
A group word is said to be strongly concise in a class of profinite groups if, for every group such that takes less than va…
math.RA2026
Random generation of the special linear Lie algebra over finite fields
Urban Jezernik, Andoni Zozaya
We prove that the special linear Lie algebra over a finite field of characteristic is generated by two random elements with high probability as…
math.GR2026
On the expected value of energy in groups
Marco Barbieri, Marusa Lekše, Andoni Zozaya
We obtain explicit upper and lower bounds for the expected action energy associated with a pair of subsets sampled uniformly at random from a permutation group…