AbstractThe Sylow-2-subgroups of a periodic group with minimal condition on centralizers are locally finite and conjugate. The same holds for the Sylow-p-subgroups for any prime p, provided the subgroups generated by any two p-elements of the group are finite. In the non-periodic context, the bounded left Engel elements of a group with minimal condition on centralizers form the Fitting subgroup
An $\mathfrak{M}_C$ group is a group in which all chains of centralizers have finite length. In this...
An $\mathfrak{M}_C$ group is a group in which all chains of centralizers have finite length. In this...
Our first main result proves that every element of order 4 of a Sylow 2-subgroup S of a minimal non-...
The Sylow-2-subgroups of a periodic group with minimal condition on centralizers are locally finite ...
AbstractThe Sylow-2-subgroups of a periodic group with minimal condition on centralizers are locally...
AbstractIf a finite group G is the product of two nilpotent subgroups A and B and if N is a minimal ...
We give a detailed description of infinite locally nilpotent groups G such that the index |C_G(x) : ...
We give a detailed description of infinite locally nilpotent groups G such that the index |C_G(x) : ...
We give a detailed description of infinite locally nilpotent groups G such that the index |C_G(x):⟨x...
We give a detailed description of infinite locally nilpotent groups G such that the index |C_G(x):⟨x...
We give a detailed description of infinite locally nilpotent groups G such that the index |C_G(x):⟨x...
Our first main result proves that every element of order 4 of a Sylow 2-subgroup S of a minimal non-...
We give a detailed description of infinite locally nilpotent groups G such that the index |C_G(x):⟨x...
Our first main result proves that every element of order 4 of a Sylow 2-subgroup S of a minimal non-...
We give a detailed description of infinite locally nilpotent groups G such that the index |C_G(x):⟨x...
An $\mathfrak{M}_C$ group is a group in which all chains of centralizers have finite length. In this...
An $\mathfrak{M}_C$ group is a group in which all chains of centralizers have finite length. In this...
Our first main result proves that every element of order 4 of a Sylow 2-subgroup S of a minimal non-...
The Sylow-2-subgroups of a periodic group with minimal condition on centralizers are locally finite ...
AbstractThe Sylow-2-subgroups of a periodic group with minimal condition on centralizers are locally...
AbstractIf a finite group G is the product of two nilpotent subgroups A and B and if N is a minimal ...
We give a detailed description of infinite locally nilpotent groups G such that the index |C_G(x) : ...
We give a detailed description of infinite locally nilpotent groups G such that the index |C_G(x) : ...
We give a detailed description of infinite locally nilpotent groups G such that the index |C_G(x):⟨x...
We give a detailed description of infinite locally nilpotent groups G such that the index |C_G(x):⟨x...
We give a detailed description of infinite locally nilpotent groups G such that the index |C_G(x):⟨x...
Our first main result proves that every element of order 4 of a Sylow 2-subgroup S of a minimal non-...
We give a detailed description of infinite locally nilpotent groups G such that the index |C_G(x):⟨x...
Our first main result proves that every element of order 4 of a Sylow 2-subgroup S of a minimal non-...
We give a detailed description of infinite locally nilpotent groups G such that the index |C_G(x):⟨x...
An $\mathfrak{M}_C$ group is a group in which all chains of centralizers have finite length. In this...
An $\mathfrak{M}_C$ group is a group in which all chains of centralizers have finite length. In this...
Our first main result proves that every element of order 4 of a Sylow 2-subgroup S of a minimal non-...
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