3 citations · 7 across the 12 of their papers we have counts for
9 papers · 1 filter
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…
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…
Flexible -valent graphs of even girth
Marco Barbieri, Andoni Zozaya
We prove the existence of a connected flexible -valent vertex-transitive graph of girth for every integer . We also give a constructive proof if is prime.
On generalisations of conciseness
Andoni Zozaya
Based on the notions of conciseness and semiconciseness, we show that these properties are not equivalent by proving that a word originally presented by Ol'shanskii is semiconcise…
Strong conciseness and equationally Noetherian groups
Iker de las Heras, Andoni Zozaya
A word is said to be concise in a class of groups if, for every in that class such that the set of -values is finite, the verbal subgroup is also finite.…
Linearity of compact -analytic groups
Montserrat Casals-Ruiz, Andoni Zozaya
We prove that any compact -analytic group is linear when is a pro- domain of characteristic zero.
The degree of commutativity of wreath products with infinite cyclic top group
Iker de las Heras, Benjamin Klopsch, Andoni Zozaya
The degree of commutativity of a finite group is the probability that two uniformly and randomly chosen elements commute. This notion extends naturally to finitely generated groups…
Conciseness of compact -analytic groups
Andoni Zozaya
We prove that every word is strongly concise in the class of compact -analytic groups.
Standard Hausdorff spectrum of compact -analytic groups
Jon González-Sánchez, Andoni Zozaya
We prove that the -standard Hausdorff spectrum of a compact -analytic group contains a real interval and that it coincides with the full unit…