Subgrouppermutability in a finite group is studied, in order to distinguish between irreducible and reducible groups and to give a bound for the diameter. A simple nonabelian finite group is irreducible and its diameter is less or equal 16 while a reducible group is forced to be soluble and the bound of the diameter of such a group is 4
A finite group is said to be admissible if it has a permutation mapping of the form g → θ(g) such th...
AbstractLet G be a finite group. The question of how certain arithmetical conditions on the degrees ...
Let G be a finite solvable group. We assume that the set of conjugacy class sizes of G is {1, m, n, ...
In this survey paper several subgroup embedding properties related to some types of permutability ar...
AbstractA group G is a PT-group if, for subgroups H and K with H permutable in K and K permutable in...
In this survey paper several subgroup embedding properties related to some types of permutability ar...
PhDConsider a finite group G and subgroups H;K of G. We say that H and K permute if HK = KH and cal...
AbstractA group satisfies the permutizer conditionPif each proper subgroup permutes with some cyclic...
The material in this article corresponds roughly to the contents of six lectures given at the Intern...
A subgroup X of a group G is called permutable if XY = Y X for all subgroups Y of G. It is well know...
A subgroup X of a group G is called permutable if XY = Y X for all subgroups Y of G. It is well know...
A subgroup X of a group G is called permutable if XY = Y X for all subgroups Y of G. It is well know...
AbstractA groupGsatisfies thepermutizer conditionPif each proper subgroupHofGpermutes with some cycl...
In this dissertation, we determine the structure of groups whose non-permutable subgroups satisfy ce...
In this article we introduce and study two classes of finite groups for which the orders of their su...
A finite group is said to be admissible if it has a permutation mapping of the form g → θ(g) such th...
AbstractLet G be a finite group. The question of how certain arithmetical conditions on the degrees ...
Let G be a finite solvable group. We assume that the set of conjugacy class sizes of G is {1, m, n, ...
In this survey paper several subgroup embedding properties related to some types of permutability ar...
AbstractA group G is a PT-group if, for subgroups H and K with H permutable in K and K permutable in...
In this survey paper several subgroup embedding properties related to some types of permutability ar...
PhDConsider a finite group G and subgroups H;K of G. We say that H and K permute if HK = KH and cal...
AbstractA group satisfies the permutizer conditionPif each proper subgroup permutes with some cyclic...
The material in this article corresponds roughly to the contents of six lectures given at the Intern...
A subgroup X of a group G is called permutable if XY = Y X for all subgroups Y of G. It is well know...
A subgroup X of a group G is called permutable if XY = Y X for all subgroups Y of G. It is well know...
A subgroup X of a group G is called permutable if XY = Y X for all subgroups Y of G. It is well know...
AbstractA groupGsatisfies thepermutizer conditionPif each proper subgroupHofGpermutes with some cycl...
In this dissertation, we determine the structure of groups whose non-permutable subgroups satisfy ce...
In this article we introduce and study two classes of finite groups for which the orders of their su...
A finite group is said to be admissible if it has a permutation mapping of the form g → θ(g) such th...
AbstractLet G be a finite group. The question of how certain arithmetical conditions on the degrees ...
Let G be a finite solvable group. We assume that the set of conjugacy class sizes of G is {1, m, n, ...
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