Add to ORKGWe classity the finite soluble groups satisfying the following condition: if $H$ is a subgroup of $G$ and $H$ is not nilpotent, then the Fitting subgroup of $H$ is the centralizer in $H$ of its derived subgroup $H’$
AbstractGiven a finite group G, we define the subgroup D(G) to be the intersection of the normalizer...
summary:A group $G$ has subnormal deviation at most $1$ if, for every descending chain $H_{0}>H_{1}>...
AbstractWe answer a question due to Babai and Goodman by showing that for each natural number n ther...
Abstract. We show that for soluble groups of type FPn, centralisers of finite subgroups need not be ...
Abstract. We give a classification of finite soluble groups G which satisfy the following N/C-extrem...
Abstract. For any group G, let C(G) denote the set of centralizers of G. We say that a group G has n...
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 \ud non-trivial element is metab...
AbstractFor a group class X, a group G is said to be a CX-group if the factor group G/CG(gG)∈X for a...
In [1] we obtained a short proof of the theorem of Thompson that a finite group is soluble if and on...
The results for soluble groupe of finite Morley rank are generalized to the finite dimensional conte...
AbstractLet X,F,X⊆F, be non-trivial Fitting classes of finite soluble groups such that GX is an X-in...
AbstractA Fitting class F is called dominant in the class of all finite soluble groups S if F⊆S and ...
AbstractIt is shown that a countable locally nilpotent group G that is also soluble has a residually...
[EN] In this paper the subnormal subgroup closed saturated formations of finite soluble groups conta...
AbstractGiven a finite group G, we define the subgroup D(G) to be the intersection of the normalizer...
summary:A group $G$ has subnormal deviation at most $1$ if, for every descending chain $H_{0}>H_{1}>...
AbstractWe answer a question due to Babai and Goodman by showing that for each natural number n ther...
Abstract. We show that for soluble groups of type FPn, centralisers of finite subgroups need not be ...
Abstract. We give a classification of finite soluble groups G which satisfy the following N/C-extrem...
Abstract. For any group G, let C(G) denote the set of centralizers of G. We say that a group G has n...
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 \ud non-trivial element is metab...
AbstractFor a group class X, a group G is said to be a CX-group if the factor group G/CG(gG)∈X for a...
In [1] we obtained a short proof of the theorem of Thompson that a finite group is soluble if and on...
The results for soluble groupe of finite Morley rank are generalized to the finite dimensional conte...
AbstractLet X,F,X⊆F, be non-trivial Fitting classes of finite soluble groups such that GX is an X-in...
AbstractA Fitting class F is called dominant in the class of all finite soluble groups S if F⊆S and ...
AbstractIt is shown that a countable locally nilpotent group G that is also soluble has a residually...
[EN] In this paper the subnormal subgroup closed saturated formations of finite soluble groups conta...
AbstractGiven a finite group G, we define the subgroup D(G) to be the intersection of the normalizer...
summary:A group $G$ has subnormal deviation at most $1$ if, for every descending chain $H_{0}>H_{1}>...
AbstractWe answer a question due to Babai and Goodman by showing that for each natural number n ther...