Add to ORKGB. Hartley asked the following question: Does there exist a torsion free barely trasitive group? Existence of torsion free simple barely transitive group is also unknown. We answer the latter question negatively in a special case. Moreover we proved the following: Let G be a simple barely transitive group, and H be a stabilizer of a point. If for a non-identity element x 2 G, CG(x) is innite then, CG(x) cannot contain H. Key Words: Barely transitive, commensurable
AbstractLet V be a variety of groups. A group G is said to be almost V-free if every subgroup of G t...
This thesis is divided into three chapters. Each chapter deals with a different aspect of the theory...
We investigate the variety of groups determined by the identity [[*!, X2,..., Xj, [Xm + V Xm+2,..., ...
We describe the barely transitive groups with abelian-by-finite, nilpotent-by-finite and soluble-by-...
Quasi-homogeneous weakly transitive rank 2 torsion-free groups are described, and any finite rank to...
This Article is brought to you for free and open access by the School of Mathematics a
This is a survey article on barely transitive groups. It also involves some recent results in the ca...
We show that a barely transitive group is totally imprimitive if and only if it is locally graded. M...
AbstractWe investigate the structure of groups in which commutativity is a transitive relation on no...
We introduce the notion of weak transitivity for torsion-free abelian groups. A torsion-free abelian...
Sela proved that every torsion-free one-ended hyperbolic group is co-Hopfian. We prove that there ex...
Abstract. We introduce a new class of fully transitive and transitive Abelian p-groups and study the...
64 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1998.A group G is called a CT-group...
64 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1998.A group G is called a CT-group...
AbstractWe prove that it is consistent that there is a non-reflexive Whitehead group, in fact one wh...
AbstractLet V be a variety of groups. A group G is said to be almost V-free if every subgroup of G t...
This thesis is divided into three chapters. Each chapter deals with a different aspect of the theory...
We investigate the variety of groups determined by the identity [[*!, X2,..., Xj, [Xm + V Xm+2,..., ...
We describe the barely transitive groups with abelian-by-finite, nilpotent-by-finite and soluble-by-...
Quasi-homogeneous weakly transitive rank 2 torsion-free groups are described, and any finite rank to...
This Article is brought to you for free and open access by the School of Mathematics a
This is a survey article on barely transitive groups. It also involves some recent results in the ca...
We show that a barely transitive group is totally imprimitive if and only if it is locally graded. M...
AbstractWe investigate the structure of groups in which commutativity is a transitive relation on no...
We introduce the notion of weak transitivity for torsion-free abelian groups. A torsion-free abelian...
Sela proved that every torsion-free one-ended hyperbolic group is co-Hopfian. We prove that there ex...
Abstract. We introduce a new class of fully transitive and transitive Abelian p-groups and study the...
64 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1998.A group G is called a CT-group...
64 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1998.A group G is called a CT-group...
AbstractWe prove that it is consistent that there is a non-reflexive Whitehead group, in fact one wh...
AbstractLet V be a variety of groups. A group G is said to be almost V-free if every subgroup of G t...
This thesis is divided into three chapters. Each chapter deals with a different aspect of the theory...
We investigate the variety of groups determined by the identity [[*!, X2,..., Xj, [Xm + V Xm+2,..., ...