20 citations · 152 across the 37 of their papers we have counts for
8 papers · 1 filter
Invariant Schreier decorations of unimodular random networks
László Márton Tóth
We prove that every -regular unimodular random network carries an invariant random Schreier decoration. Equivalently, it is the Schreier coset graph of an invariant random subg…
Invariant random subgroups of groups acting on rooted trees
Ferenc Bencs, László Márton Tóth
We investigate invariant random subgroups in groups acting on rooted trees. Let be the group of finitary even automorphisms of the -ary rooted tree . We p…
Uniform rank gradient, cost and local-global convergence
Miklós Abért, László Márton Tóth
We analyze the rank gradient of finitely generated groups with respect to sequences of subgroups of finite index that do not necessarily form a chain, by connecting it to the cost…
The number of subgroups of the group
László Tóth
We deduce direct formulas for the total number of subgroups and the number of subgroups of a given order of the group ,…
On the number of subgroups of a given exponent in a finite abelian group
Marius Tărnăuceanu, László Tóth
This paper deals with the number of subgroups of a given exponent in a finite abelian group. Explicit formulas are obtained in the case of rank two and rank three abelian groups. A…
On the subgroups of finite Abelian groups of rank three
Mario Hampejs, László Tóth
We describe the subgroups of the group and derive a simple formula for the total number of the subgroups, where are arbitrary posi…