AbstractWe investigate the influence of the intersection of the F-maximal subgroups on the structure of a finite group. In particular, answering a question of L.A Shemetkov, we give conditions under which a hereditary saturated formation F has the property that for any finite group G, the F-hypercentre of G coincides with the intersection of all F-maximal subgroups of G
Given a positive real number we say that an open subgroup H of a profinite group G is an -intersecti...
This book offers a systematic introduction to recent achievements and development in research on the...
AbstractGiven a finite group G and any set of primes π, we define here two subgroups Sπ(G) and Φπ(G)...
AbstractWe investigate the influence of the intersection of the F-maximal subgroups on the structure...
AbstractLet F be a class of groups. A chief factor H/K of a group G is called F-central in G provide...
AbstractLet G be a finite solvable group and F a saturated formation. We characterize the intersecti...
AbstractLet F be a class of groups. A subgroup H of a group G is said to be a maximal F-subgroup of ...
AbstractFor any saturated formation F of finite groups containing all supersolvable groups, the grou...
AbstractWe define, in each finite group G, some subgroups of Frattini-type in relation with a satura...
AbstractLet G be a finite group, X a class of groups. A chief factor H/K of G is called X-central pr...
AbstractLet G be a finite group. We write R(G) to denote the largest soluble normal subgroup of G an...
Assume that F is a class of finite groups. A normal subgroup E is FΦ-hypercentral in G if E ≤ ZFΦ(G)...
Let G be a finite group and H ≤ G. The authors study the structure of finite groups G having a subgr...
AbstractThe objective of this paper is to investigate three distinct families of maximal subgroups o...
The authors haracterize the finite groups in which H(G) , the intersection of the maximal non nilpot...
Given a positive real number we say that an open subgroup H of a profinite group G is an -intersecti...
This book offers a systematic introduction to recent achievements and development in research on the...
AbstractGiven a finite group G and any set of primes π, we define here two subgroups Sπ(G) and Φπ(G)...
AbstractWe investigate the influence of the intersection of the F-maximal subgroups on the structure...
AbstractLet F be a class of groups. A chief factor H/K of a group G is called F-central in G provide...
AbstractLet G be a finite solvable group and F a saturated formation. We characterize the intersecti...
AbstractLet F be a class of groups. A subgroup H of a group G is said to be a maximal F-subgroup of ...
AbstractFor any saturated formation F of finite groups containing all supersolvable groups, the grou...
AbstractWe define, in each finite group G, some subgroups of Frattini-type in relation with a satura...
AbstractLet G be a finite group, X a class of groups. A chief factor H/K of G is called X-central pr...
AbstractLet G be a finite group. We write R(G) to denote the largest soluble normal subgroup of G an...
Assume that F is a class of finite groups. A normal subgroup E is FΦ-hypercentral in G if E ≤ ZFΦ(G)...
Let G be a finite group and H ≤ G. The authors study the structure of finite groups G having a subgr...
AbstractThe objective of this paper is to investigate three distinct families of maximal subgroups o...
The authors haracterize the finite groups in which H(G) , the intersection of the maximal non nilpot...
Given a positive real number we say that an open subgroup H of a profinite group G is an -intersecti...
This book offers a systematic introduction to recent achievements and development in research on the...
AbstractGiven a finite group G and any set of primes π, we define here two subgroups Sπ(G) and Φπ(G)...
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