The problem of normal extensions in groups (see Kurosh [1] Chapter XII) has been studied in considerable detail and has reached the point of a reasonable solution. The corresponding problem of general extensions in groups, although studied quite extensively, has not yet reached that point. The aim of the present thesis is to generalise some of the results obtained in the case of normal extensions to the general case. It was proved by Baer [1] that the cosets of a group H modulo an arbitrary subgroup G can be given a structure called a mixed group
The isomorphism problem for groups given by their multiplication tables (GpI) has long been known to...
A well-known problem in the theory of groups is that of finding conditions under which a given subg...
A well-known problem in the theory of groups is that of finding conditions under which a given subg...
A study of extensions of groups: given 2 groups G and K, I study the groups E that have K as a norma...
A study of extensions of groups: given 2 groups G and K, I study the groups E that have K as a norma...
AbstractTo take care of the fact that a normal subgroup of a normal subgroup need not be normal in t...
To take care of the fact that a normal subgroup of a normal subgroup need not be normal in the origi...
AbstractA completely simple subsemigroup K of a completely simple semigroup S is a normal subsemigro...
To take care of the fact that a normal subgroup of a normal subgroup need not be normal in the origi...
this paper, and it is the other spot in the proof of Theorem 1.1 which depends on (CSG) (note that h...
AbstractLet N be a normal subgroup of the group G. By a result of P. Hall, G is nilpotent if N and G...
AbstractLetAbe a torsion-free group. A mixed groupGis said to be an almost dense extension group (AD...
Abstract. We give a homological denition of the Euler characteristic (G) of a group G; if N is a nor...
The study of groups by imposing conditions on the set of their normal subgroups is a theme which has...
AbstractThe concept of an abnormal subgroup of a group G is, in a sense, opposite of that of a norma...
The isomorphism problem for groups given by their multiplication tables (GpI) has long been known to...
A well-known problem in the theory of groups is that of finding conditions under which a given subg...
A well-known problem in the theory of groups is that of finding conditions under which a given subg...
A study of extensions of groups: given 2 groups G and K, I study the groups E that have K as a norma...
A study of extensions of groups: given 2 groups G and K, I study the groups E that have K as a norma...
AbstractTo take care of the fact that a normal subgroup of a normal subgroup need not be normal in t...
To take care of the fact that a normal subgroup of a normal subgroup need not be normal in the origi...
AbstractA completely simple subsemigroup K of a completely simple semigroup S is a normal subsemigro...
To take care of the fact that a normal subgroup of a normal subgroup need not be normal in the origi...
this paper, and it is the other spot in the proof of Theorem 1.1 which depends on (CSG) (note that h...
AbstractLet N be a normal subgroup of the group G. By a result of P. Hall, G is nilpotent if N and G...
AbstractLetAbe a torsion-free group. A mixed groupGis said to be an almost dense extension group (AD...
Abstract. We give a homological denition of the Euler characteristic (G) of a group G; if N is a nor...
The study of groups by imposing conditions on the set of their normal subgroups is a theme which has...
AbstractThe concept of an abnormal subgroup of a group G is, in a sense, opposite of that of a norma...
The isomorphism problem for groups given by their multiplication tables (GpI) has long been known to...
A well-known problem in the theory of groups is that of finding conditions under which a given subg...
A well-known problem in the theory of groups is that of finding conditions under which a given subg...