Denote by m(G) the largest size of a minimal generating set of a finite group G. We want to estimate the difference m(G) - m(G/N) in the case when N is the unique minimal normal subgroup of G
Let G be a finite group and, for n (Formula Presented) N, denote by mn (G) the number of maximal sub...
AbstractGiven a group G and positive integers r,s≤|G|, we denote by μG(r,s) the least possible size ...
Let G be a finite group and, for n (Formula Presented) N, denote by mn (G) the number of maximal sub...
We study how the largest size m(G) of a minimal generating set of a finite group G can be computed
We study how the largest size m(G) of a minimal generating set of a finite group G can be computed
A generating set for a finite group G is minimal if no proper subset generates G, and m(G) denotes t...
We denote the smallest size of a generating set of a group G by . We prove that for irreducible sub...
For a finite group G we investigate the difference between the maximum size MaxDim (G) of an \u201ci...
An abelian group G is called minimax if it contains a finitely generated subgroup H such that G/H sa...
AbstractLet G be a finite group. Denote by r(G) the least cardinality of a subset A of G, satisfying...
Let G be a finite abelian group of order g: We determine, for all 1pr; spg; the minimal size mGðr; s...
For a set S of generators of the finite group G, let diam(G, S) denote the maximum over g ∈ G of the...
ABSTRACT. A minimal permutation representation of a finite group G is a faithful G-set with the smal...
Let G be a (topological) group. For 2 <= d epsilon N, denote by mu(d)(G) the largest m for which the...
AbstractThe diameter of a finite group G with respect to a generating set A is the smallest non-nega...
Let G be a finite group and, for n (Formula Presented) N, denote by mn (G) the number of maximal sub...
AbstractGiven a group G and positive integers r,s≤|G|, we denote by μG(r,s) the least possible size ...
Let G be a finite group and, for n (Formula Presented) N, denote by mn (G) the number of maximal sub...
We study how the largest size m(G) of a minimal generating set of a finite group G can be computed
We study how the largest size m(G) of a minimal generating set of a finite group G can be computed
A generating set for a finite group G is minimal if no proper subset generates G, and m(G) denotes t...
We denote the smallest size of a generating set of a group G by . We prove that for irreducible sub...
For a finite group G we investigate the difference between the maximum size MaxDim (G) of an \u201ci...
An abelian group G is called minimax if it contains a finitely generated subgroup H such that G/H sa...
AbstractLet G be a finite group. Denote by r(G) the least cardinality of a subset A of G, satisfying...
Let G be a finite abelian group of order g: We determine, for all 1pr; spg; the minimal size mGðr; s...
For a set S of generators of the finite group G, let diam(G, S) denote the maximum over g ∈ G of the...
ABSTRACT. A minimal permutation representation of a finite group G is a faithful G-set with the smal...
Let G be a (topological) group. For 2 <= d epsilon N, denote by mu(d)(G) the largest m for which the...
AbstractThe diameter of a finite group G with respect to a generating set A is the smallest non-nega...
Let G be a finite group and, for n (Formula Presented) N, denote by mn (G) the number of maximal sub...
AbstractGiven a group G and positive integers r,s≤|G|, we denote by μG(r,s) the least possible size ...
Let G be a finite group and, for n (Formula Presented) N, denote by mn (G) the number of maximal sub...
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