AbstractIt is shown that a soluble-by-finite subgroup G of a finite-dimensional division algebra D contains an abelian normal subgroup of index dividing 60deg(D)2. Moreover, the group of outer automorphisms of G induced by the elements of D is also soluble-by-finite. The question of whether a division algebra generated by a soluble-by-finite group is necessarily is a crossed product is also addressed
question "which finite dimensional division algebras D over the field Q of rational numbers can...
We describe generalised soluble or nilpotent groups G in which, for all H≤G, the group of outer auto...
We prove that every finitely generated soluble group that is not virtually abelian has a subgroup of...
AbstractIn some very nice, recent and yet to be published work Shirvani produces some very tight bou...
AbstractLet D be a division ring of finite degree d and let n be a positive integer. If G is any sol...
It is unknown whether every group G = AB which is the product of of two abelian-by-finite subgroups ...
We will prove the following result. Theorem Let G be a finite group in which every two elements gene...
In [1] we obtained a short proof of the theorem of Thompson that a finite group is soluble if and on...
We study groups in which each subnormal subgroup is commensurable with a normal subgroup. Recall tha...
AbstractLet Mm(D) be a finite dimensional F-central simple algebra. It is shown that Mm(D) is a cros...
A subgroup H of a group G is called inert if, for each g in G, the index of H intersection H^g in H ...
We describe soluble groups in which the set of all subgroups is countable and show that locally (sol...
AbstractDivision algebras D generated by some finitely generated nilpotent subgroup G of the multipl...
AbstractIt is shown that a group G=AB which is a product of two periodic locally dihedral subgroups ...
In two papers J.T. Buckley, J.C. Lennox, H. Smith, B.H. Neumann and J. Wiegold studied groups in whi...
question "which finite dimensional division algebras D over the field Q of rational numbers can...
We describe generalised soluble or nilpotent groups G in which, for all H≤G, the group of outer auto...
We prove that every finitely generated soluble group that is not virtually abelian has a subgroup of...
AbstractIn some very nice, recent and yet to be published work Shirvani produces some very tight bou...
AbstractLet D be a division ring of finite degree d and let n be a positive integer. If G is any sol...
It is unknown whether every group G = AB which is the product of of two abelian-by-finite subgroups ...
We will prove the following result. Theorem Let G be a finite group in which every two elements gene...
In [1] we obtained a short proof of the theorem of Thompson that a finite group is soluble if and on...
We study groups in which each subnormal subgroup is commensurable with a normal subgroup. Recall tha...
AbstractLet Mm(D) be a finite dimensional F-central simple algebra. It is shown that Mm(D) is a cros...
A subgroup H of a group G is called inert if, for each g in G, the index of H intersection H^g in H ...
We describe soluble groups in which the set of all subgroups is countable and show that locally (sol...
AbstractDivision algebras D generated by some finitely generated nilpotent subgroup G of the multipl...
AbstractIt is shown that a group G=AB which is a product of two periodic locally dihedral subgroups ...
In two papers J.T. Buckley, J.C. Lennox, H. Smith, B.H. Neumann and J. Wiegold studied groups in whi...
question "which finite dimensional division algebras D over the field Q of rational numbers can...
We describe generalised soluble or nilpotent groups G in which, for all H≤G, the group of outer auto...
We prove that every finitely generated soluble group that is not virtually abelian has a subgroup of...
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