For every infinite group G and every set of generators S of G, we construct a system of generators in S which is small in the sense of Prodanov
International audienceA group is small if it has countably many complete n-types over the empty set ...
Shumyatsky and the second author proved that if G is a finitely generated residually finite p-group ...
A subset S of a group G invariably generates G if, when each element of S is replaced by an arbitrar...
It was proved by Banakh and Protasov that every group can be generated by a small set (in the sense ...
[EN] Following [22] we study the class S of all groups that admit a small set of generators. Here we...
AbstractA subset S of a finite group G invariably generates G if G=〈sg(s)|s∈S〉 for each choice of g(...
Abstract. Answering a question of D.Dikranjan and I.Protasov we prove that each infinite Abelian gro...
<p>A subset $X$ of a group $G$ is called $P$-small (almost $P$-small) if there exists an injective ...
Let G be a finite group. It has recently been proved that every nontrivial element of G is contained...
A set S in a group G is said to be small if there exist infinitely many pairwise disjoint translat...
AbstractYap (1983) shows that each set having small generators is in the class NP/poly which was int...
A generating set for a finite group G is minimal if no proper subset generates G, and m(G) denotes t...
A subset {g1, ..., gd} of a finite group G is said to invariably generate G if the set {g1x1,...,gdx...
AbstractIf X is an n-element set, we call a family G⊂PX a k-generator for X if every x⊂X can be expr...
For a finite group group, denote by V(G) the smallest positive integer k with the property that the ...
International audienceA group is small if it has countably many complete n-types over the empty set ...
Shumyatsky and the second author proved that if G is a finitely generated residually finite p-group ...
A subset S of a group G invariably generates G if, when each element of S is replaced by an arbitrar...
It was proved by Banakh and Protasov that every group can be generated by a small set (in the sense ...
[EN] Following [22] we study the class S of all groups that admit a small set of generators. Here we...
AbstractA subset S of a finite group G invariably generates G if G=〈sg(s)|s∈S〉 for each choice of g(...
Abstract. Answering a question of D.Dikranjan and I.Protasov we prove that each infinite Abelian gro...
<p>A subset $X$ of a group $G$ is called $P$-small (almost $P$-small) if there exists an injective ...
Let G be a finite group. It has recently been proved that every nontrivial element of G is contained...
A set S in a group G is said to be small if there exist infinitely many pairwise disjoint translat...
AbstractYap (1983) shows that each set having small generators is in the class NP/poly which was int...
A generating set for a finite group G is minimal if no proper subset generates G, and m(G) denotes t...
A subset {g1, ..., gd} of a finite group G is said to invariably generate G if the set {g1x1,...,gdx...
AbstractIf X is an n-element set, we call a family G⊂PX a k-generator for X if every x⊂X can be expr...
For a finite group group, denote by V(G) the smallest positive integer k with the property that the ...
International audienceA group is small if it has countably many complete n-types over the empty set ...
Shumyatsky and the second author proved that if G is a finitely generated residually finite p-group ...
A subset S of a group G invariably generates G if, when each element of S is replaced by an arbitrar...
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