Publication date
January 2018
DOIAbstract
We prove that the kth term of the lower central series of a finite group G is nilpotent if and only if jabj D jajjbj for any k-commutators a; b 2 G of coprime orders
We prove that the kth term of the lower central series of a finite group G is nilpotent if and only if jabj D jajjbj for any k-commutators a; b 2 G of coprime orders
SIGLEAvailable from British Library Document Supply Centre- DSC:DX95789 / BLDSC - British Library Do...
A classical theorem of Reinhold Baer shows that any group which is finite over its k-Th centre has a...
Let G be a finite group. A coprime commutator in G is any element that can be written as a commutato...
We prove that the kth term of the lower central series of a finite group G is nilpotent if and only ...
Let G be a finite group and let k≥2 We prove that the coprime subgroup γ*k(G) is nilpotent if and on...
In this paper we address the problem of understanding when a verbal subgroup of a finite group is p-...
The word w = [xi1 , xi2 , : : : ; xik] is a simple commutator word if k ≤ 2; i1 ≠ i2 and ij i {1,.....
If G is a finite soluble group in which the centralizer of every non-trivial element is metabel...
If G is a finite soluble group in which the centralizer of every non-trivial element is metabel...
SIGLEAvailable from British Library Document Supply Centre- DSC:DX95789 / BLDSC - British Library Do...
A classical theorem of Reinhold Baer shows that any group which is finite over its k-Th centre has a...
Let G be a finite group. A coprime commutator in G is any element that can be written as a commutato...
We prove that the kth term of the lower central series of a finite group G is nilpotent if and only ...
Let G be a finite group and let k≥2 We prove that the coprime subgroup γ*k(G) is nilpotent if and on...
In this paper we address the problem of understanding when a verbal subgroup of a finite group is p-...
The word w = [xi1 , xi2 , : : : ; xik] is a simple commutator word if k ≤ 2; i1 ≠ i2 and ij i {1,.....
If G is a finite soluble group in which the centralizer of every non-trivial element is metabel...
If G is a finite soluble group in which the centralizer of every non-trivial element is metabel...
SIGLEAvailable from British Library Document Supply Centre- DSC:DX95789 / BLDSC - British Library Do...
A classical theorem of Reinhold Baer shows that any group which is finite over its k-Th centre has a...
Let G be a finite group. A coprime commutator in G is any element that can be written as a commutato...
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