If G is a non soluble finite group the intersection of the maximal subgroups of G that are not nilpotent is the Frattini subgroup of G. This was proved by Shidov (1971). The authors present a new formation larger than the formation of nilpotent groups for which it holds the analogous of the theorem of Shidov. The theorem uses the classification of finite simple groups
It can be deduced from the Burnside Basis Theorem that if G is a finite p-group with d(G)=r then giv...
Abstract. Let a finite group G act transitively on a finite set X. A subset S ⊆ G is said to be inte...
AbstractThe authors investigate the structure of locally soluble-by-finite groups that satisfy the w...
If G is a non soluble finite group the intersection of the maximal subgroups of G that are not nilp...
The authors haracterize the finite groups in which H(G) , the intersection of the maximal non nilpot...
AbstractWe define, in each finite group G, some subgroups of Frattini-type in relation with a satura...
Frattini subgroup, , of a group G is the intersection of all the maximal subgroups of G, or else G i...
We describe (generalized) soluble-by-finite groups in which the set of non-normal subgroups which ar...
AbstractGiven a finite group G and any set of primes π, we define here two subgroups Sπ(G) and Φπ(G)...
For a finite group G and an arbitrary prime p, let Sp (G) denote the intersection of all maximal sub...
AbstractWe answer a question due to Babai and Goodman by showing that for each natural number n ther...
If F is a class of groups, then a minimal non-F-group (a dual minimal non-F-group resp.) is a group ...
We answer a question due to Babai and Goodman by showing that for each natural number n there exists...
AbstractLet G be a finite solvable group and F a saturated formation. We characterize the intersecti...
AbstractGiven a finite group G, we use formation theory to introduce a common generalization of the ...
It can be deduced from the Burnside Basis Theorem that if G is a finite p-group with d(G)=r then giv...
Abstract. Let a finite group G act transitively on a finite set X. A subset S ⊆ G is said to be inte...
AbstractThe authors investigate the structure of locally soluble-by-finite groups that satisfy the w...
If G is a non soluble finite group the intersection of the maximal subgroups of G that are not nilp...
The authors haracterize the finite groups in which H(G) , the intersection of the maximal non nilpot...
AbstractWe define, in each finite group G, some subgroups of Frattini-type in relation with a satura...
Frattini subgroup, , of a group G is the intersection of all the maximal subgroups of G, or else G i...
We describe (generalized) soluble-by-finite groups in which the set of non-normal subgroups which ar...
AbstractGiven a finite group G and any set of primes π, we define here two subgroups Sπ(G) and Φπ(G)...
For a finite group G and an arbitrary prime p, let Sp (G) denote the intersection of all maximal sub...
AbstractWe answer a question due to Babai and Goodman by showing that for each natural number n ther...
If F is a class of groups, then a minimal non-F-group (a dual minimal non-F-group resp.) is a group ...
We answer a question due to Babai and Goodman by showing that for each natural number n there exists...
AbstractLet G be a finite solvable group and F a saturated formation. We characterize the intersecti...
AbstractGiven a finite group G, we use formation theory to introduce a common generalization of the ...
It can be deduced from the Burnside Basis Theorem that if G is a finite p-group with d(G)=r then giv...
Abstract. Let a finite group G act transitively on a finite set X. A subset S ⊆ G is said to be inte...
AbstractThe authors investigate the structure of locally soluble-by-finite groups that satisfy the w...
DOI
Add to ORKG