AbstractWe study finite groups for which every minimal generating set has the same cardinality. A group has the basis property if it and every subgroup satisfies this condition on minimal generating sets. We classify all finite groups with the basis property
Let G be a finite group. It has recently been proved that every nontrivial element of G is contained...
A group is said to possess the universal mapping property if its automorphism group acts transitivel...
Let G be a finite group. It has recently been proved that every nontrivial element of G is contained...
AbstractWe study finite groups for which every minimal generating set has the same cardinality. A gr...
We study finite groups for which every minimal generating set has the same cardinality. A group has ...
We study finite groups for which every minimal generating set has the same cardinality. A group has ...
It can be deduced from the Burnside Basis Theorem that if G is a finite p-group with d(G)=r then giv...
A subset X of prime power order elements of a finite group G is called pp-independent if there is no...
Denote by d=d(G) and m=m(G), respectively, the smallest and the largest cardinality of a minimal gen...
Denote by d=d(G) and m=m(G), respectively, the smallest and the largest cardinality of a minimal gen...
A subset X of a group (or a ring, or a field) is called generating, if the smallest subgroup (or sub...
A subset X of a group (or a ring, or a field) is called generating, if the smallest subgroup (or sub...
We say that a finite group G satisfies the independence property if, for every pair of distinct elem...
We characterize Abelian groups with a minimal generating set: Let τ A denote the maximal torsion sub...
I have defined a concept analogous to a basis in a vector space which represents elements in finite ...
Let G be a finite group. It has recently been proved that every nontrivial element of G is contained...
A group is said to possess the universal mapping property if its automorphism group acts transitivel...
Let G be a finite group. It has recently been proved that every nontrivial element of G is contained...
AbstractWe study finite groups for which every minimal generating set has the same cardinality. A gr...
We study finite groups for which every minimal generating set has the same cardinality. A group has ...
We study finite groups for which every minimal generating set has the same cardinality. A group has ...
It can be deduced from the Burnside Basis Theorem that if G is a finite p-group with d(G)=r then giv...
A subset X of prime power order elements of a finite group G is called pp-independent if there is no...
Denote by d=d(G) and m=m(G), respectively, the smallest and the largest cardinality of a minimal gen...
Denote by d=d(G) and m=m(G), respectively, the smallest and the largest cardinality of a minimal gen...
A subset X of a group (or a ring, or a field) is called generating, if the smallest subgroup (or sub...
A subset X of a group (or a ring, or a field) is called generating, if the smallest subgroup (or sub...
We say that a finite group G satisfies the independence property if, for every pair of distinct elem...
We characterize Abelian groups with a minimal generating set: Let τ A denote the maximal torsion sub...
I have defined a concept analogous to a basis in a vector space which represents elements in finite ...
Let G be a finite group. It has recently been proved that every nontrivial element of G is contained...
A group is said to possess the universal mapping property if its automorphism group acts transitivel...
Let G be a finite group. It has recently been proved that every nontrivial element of G is contained...
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