Add to ORKGA subgroup H of a group G is said to be nearly normal in G if it has finite index in its normal closure in G. A well-known theorem of B.H. Neumann states that every subgroup of a group G is nearly normal if and only if the commutator subgroup G ′ is finite. In this article, groups in which the intersection and the join of each system of nearly normal subgroups are likewise nearly normal are considered, and some sufficient conditions for such groups to be finite-by-abelian are given.
Two relevant theorems of B.H. Neumann characterize groups with finite conjugacy classes of subgroups...
A subgroup of a group is called almost normal if it has only finitely many conjugates, or equivalent...
An automorphism α of a group G is normal if it fixes every normal subgroup of G setwise. We give an ...
A subgroup H of a group G is said to be nearly normal in G if it has finite index in its normal clos...
A subgroup of a group is called almost normal if it has only finitely many conjugates, or equivalen...
A subgroup of a group is called almost normal if it has only finitely many conjugates, or equivalen...
A subgroup of a group is called almost normal if it has only finitely many conjugates, or equivalen...
A subgroup $X$ of a group $G$ is almost normal if the index $|G:N_G(X)|$ is finite, while $X$ is nea...
A subgroup H of a group G is said to be nearly normal in G if it has finite index in its normal clos...
A subgroup of a group is called almost normal if it has only finitely many conjugates, or equivalent...
A subgroup $H$ of a group $G$ is called almost normal in $G$ if it has finitely many conjugates in $...
A subgroup $H$ of a group $G$ is called almost normal in $G$ if it has finitely many conjugates in $...
Two relevant theorems of B.H. Neumann characterize groups with finite conjugacy classes of subgroups...
Two relevant theorems of B.H. Neumann characterize groups with finite conjugacy classes of subgroups...
Two relevant theorems of B.H. Neumann characterize groups with finite conjugacy classes of subgroups...
Two relevant theorems of B.H. Neumann characterize groups with finite conjugacy classes of subgroups...
A subgroup of a group is called almost normal if it has only finitely many conjugates, or equivalent...
An automorphism α of a group G is normal if it fixes every normal subgroup of G setwise. We give an ...
A subgroup H of a group G is said to be nearly normal in G if it has finite index in its normal clos...
A subgroup of a group is called almost normal if it has only finitely many conjugates, or equivalen...
A subgroup of a group is called almost normal if it has only finitely many conjugates, or equivalen...
A subgroup of a group is called almost normal if it has only finitely many conjugates, or equivalen...
A subgroup $X$ of a group $G$ is almost normal if the index $|G:N_G(X)|$ is finite, while $X$ is nea...
A subgroup H of a group G is said to be nearly normal in G if it has finite index in its normal clos...
A subgroup of a group is called almost normal if it has only finitely many conjugates, or equivalent...
A subgroup $H$ of a group $G$ is called almost normal in $G$ if it has finitely many conjugates in $...
A subgroup $H$ of a group $G$ is called almost normal in $G$ if it has finitely many conjugates in $...
Two relevant theorems of B.H. Neumann characterize groups with finite conjugacy classes of subgroups...
Two relevant theorems of B.H. Neumann characterize groups with finite conjugacy classes of subgroups...
Two relevant theorems of B.H. Neumann characterize groups with finite conjugacy classes of subgroups...
Two relevant theorems of B.H. Neumann characterize groups with finite conjugacy classes of subgroups...
A subgroup of a group is called almost normal if it has only finitely many conjugates, or equivalent...
An automorphism α of a group G is normal if it fixes every normal subgroup of G setwise. We give an ...