Add to ORKGA group G has all of its subgroups normal-by-finite if H/H (G) is finite for all subgroups H of G. The Tarski-groups provide examples of p-groups (p a "large" prime) of nonlocally finite groups in which every subgroup is normal-by-finite. The aim of this paper is to prove that a 2-group with every subgroup normal-by-finite is locally finite. We also prove that if |H/H (G) | 6 2 for every subgroup H of G, then G contains an Abelian subgroup of index at most 8
Abstract. We pursue further our investigation, begun in [H. Smith, Groups with all subgroups sub-nor...
If \(X\) is a subgroup of a group \(G\), the cardinal number \(min\{ |X:X_G|,X^G:X|\}\) is called th...
If H is a subgroup of the group G then we denote by H_G the normal core of H in G i.e. the intersect...
A group G has all of its subgroups normal-by-finite if H/H (G) is finite for all subgroups H of G. T...
summary:A group $G$ has all of its subgroups normal-by-finite if $H/H_{G}$ is finite for all subgrou...
We show that if all proper subgroups of a locally graded group G are finite-by-abelian-by-finite, th...
AbstractA group is said to have finite (special) rank ≤sif all of its finitely generated subgroups c...
A group G is a cn-group if for each subgroup H of G there exists a normal subgroup N of G such that ...
For n a positive integer, a group G is called core-n if H/H_G has order at most n for every subgroup...
A group is called metahamiltonian if all its non-abelian subgroups are normal. It is known that any ...
Abstract. We pursue further our investigation, begun in [H. Smith, Groups with all subgroups sub-nor...
If \(X\) is a subgroup of a group \(G\), the cardinal number \(min\{ |X:X_G|,X^G:X|\}\) is called th...
If H is a subgroup of the group G then we denote by H_G the normal core of H in G i.e. the intersect...
A group G has all of its subgroups normal-by-finite if H/H (G) is finite for all subgroups H of G. T...
summary:A group $G$ has all of its subgroups normal-by-finite if $H/H_{G}$ is finite for all subgrou...
We show that if all proper subgroups of a locally graded group G are finite-by-abelian-by-finite, th...
AbstractA group is said to have finite (special) rank ≤sif all of its finitely generated subgroups c...
A group G is a cn-group if for each subgroup H of G there exists a normal subgroup N of G such that ...
For n a positive integer, a group G is called core-n if H/H_G has order at most n for every subgroup...
A group is called metahamiltonian if all its non-abelian subgroups are normal. It is known that any ...
Abstract. We pursue further our investigation, begun in [H. Smith, Groups with all subgroups sub-nor...
If \(X\) is a subgroup of a group \(G\), the cardinal number \(min\{ |X:X_G|,X^G:X|\}\) is called th...
If H is a subgroup of the group G then we denote by H_G the normal core of H in G i.e. the intersect...