AbstractIt is known that a (generalized) soluble group whose proper subgroups are abelian is either abelian or finite, and finite minimal non-abelian groups are classified. Here we describe the structure of groups in which every subgroup of infinite index is abelian
A group is called metahamiltonian if all its non-abelian subgroups are normal. It is known that any ...
Includes bibliographical references (p. 49).Abelian groups can be examined according to their struct...
AbstractWe study the class of locally (soluble-by-finite) groups in which all proper subgroups are s...
AbstractIt is known that a (generalized) soluble group whose proper subgroups are abelian is either ...
In two papers J.T. Buckley, J.C. Lennox, H. Smith, B.H. Neumann and J. Wiegold studied groups in whi...
We describe soluble groups in which the set of all subgroups is countable and show that locally (sol...
We prove that every finitely generated soluble group that is not virtually abelian has a subgroup of...
It is unknown whether every group G = AB which is the product of of two abelian-by-finite subgroups ...
We show that if all proper subgroups of a locally graded group G are finite-by-abelian-by-finite, th...
The structure of locally soluble periodic groups in which every abelian subgroup is locally cyclic w...
We study groups having the property that every non-abelian subgroup is equal to its normalizer. This...
We study locally graded groups whose non-modular subgroups are soluble and satisfy some rank conditi...
It is known that if a group contains an abelian subgroup of finite index, then it also has an abelia...
AbstractIn Theorem 2.1 we characterize finite p-groups G such that each nonabelian subgroup H of G w...
A group is called metahamiltonian if all its non-abelian subgroups are normal. It is known that any ...
Includes bibliographical references (p. 49).Abelian groups can be examined according to their struct...
AbstractWe study the class of locally (soluble-by-finite) groups in which all proper subgroups are s...
AbstractIt is known that a (generalized) soluble group whose proper subgroups are abelian is either ...
In two papers J.T. Buckley, J.C. Lennox, H. Smith, B.H. Neumann and J. Wiegold studied groups in whi...
We describe soluble groups in which the set of all subgroups is countable and show that locally (sol...
We prove that every finitely generated soluble group that is not virtually abelian has a subgroup of...
It is unknown whether every group G = AB which is the product of of two abelian-by-finite subgroups ...
We show that if all proper subgroups of a locally graded group G are finite-by-abelian-by-finite, th...
The structure of locally soluble periodic groups in which every abelian subgroup is locally cyclic w...
We study groups having the property that every non-abelian subgroup is equal to its normalizer. This...
We study locally graded groups whose non-modular subgroups are soluble and satisfy some rank conditi...
It is known that if a group contains an abelian subgroup of finite index, then it also has an abelia...
AbstractIn Theorem 2.1 we characterize finite p-groups G such that each nonabelian subgroup H of G w...
A group is called metahamiltonian if all its non-abelian subgroups are normal. It is known that any ...
Includes bibliographical references (p. 49).Abelian groups can be examined according to their struct...
AbstractWe study the class of locally (soluble-by-finite) groups in which all proper subgroups are s...
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