For n a positive integer, a group G is called core-n if H/H_G has order at most n for every subgroup H of G (where H_G is the normal core of H, the largest normal subgroup of G contained in H). It is proved that a locally finite core-n group G has an abelian subgroup whose index in G is bounded in terms of n
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...
If \(X\) is a subgroup of a group \(G\), the cardinal number \(min\{ |X:X_G|,X^G:X|\}\) is called th...
For n a positive integer, a group G is called core-n if H/H_G has order at most n for every subgroup...
For n a positive integer, a group G is called core-n if H/H_G has order at most n for every subgroup...
Forna positive integer, a groupGis calledcore-nifH/H Ghas order at mostnfor every subgroupHofG(where...
AbstractForna positive integer, a groupGis calledcore-nifH/HGhas order at mostnfor every subgroupHof...
A group G is CF (core-finite) if H/H_G is finite for all subgroups H of G. Here we introduce some sp...
A group G is a cn-group if for each subgroup H of G there exists a normal subgroup N of G such that ...
AbstractA group is said to have finite (special) rank ≤sif all of its finitely generated subgroups c...
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...
If \(X\) is a subgroup of a group \(G\), the cardinal number \(min\{ |X:X_G|,X^G:X|\}\) is called th...
For n a positive integer, a group G is called core-n if H/H_G has order at most n for every subgroup...
For n a positive integer, a group G is called core-n if H/H_G has order at most n for every subgroup...
Forna positive integer, a groupGis calledcore-nifH/H Ghas order at mostnfor every subgroupHofG(where...
AbstractForna positive integer, a groupGis calledcore-nifH/HGhas order at mostnfor every subgroupHof...
A group G is CF (core-finite) if H/H_G is finite for all subgroups H of G. Here we introduce some sp...
A group G is a cn-group if for each subgroup H of G there exists a normal subgroup N of G such that ...
AbstractA group is said to have finite (special) rank ≤sif all of its finitely generated subgroups c...
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...
If \(X\) is a subgroup of a group \(G\), the cardinal number \(min\{ |X:X_G|,X^G:X|\}\) is called th...
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