A Finitely Presented Solvable Group that is not Residually Finite.
A finiteness condition on automorphism groups
A free group acting without fixed points on the rational unit sphere
A free group of piecewise linear transformations
We prove the following conjecture of J. Mycielski: There exists a free nonabelian group of piecewise linear, orientation and area preserving transformations which acts on the punctured disk {(x,y) ∈ ℝ²: 0 < x² + y² < 1} without fixed points.
A Free Product with a Non-Power Amalgamated which is not Residually Free.
A generalized Frattini subgroup of a finite group.
A generalized Hopf formula for higher homology groups.
A geometric approach to on-diagonal heat kernel lower bounds on groups
We introduce a new method for obtaining heat kernel on-diagonal lower bounds on non- compact Lie groups and on infinite discrete groups. By using this method, we are able to recover the previously known results for unimodular amenable Lie groups as well as for certain classes of discrete groups including the polycyclic groups, and to give them a geometric interpretation. We also obtain new results for some discrete groups which admit the structure of a semi-direct product or of a wreath product....
A locally commutative free group acting on the plane
The purpose of this paper is to prove the existence of a free subgroup of the group of all affine transformations on the plane with determinant 1 such that the action of the subgroup is locally commutative.
A matrix characterization of the maximal groups in
A model for the universal space for proper actions of a hyperbolic group.
A New Bound for the Genus of a Nilpotent Group
A nilpotency condition for finitely generated soluble groups
We prove that if is an integer and is a finitely generated soluble group such that every infinite set of elements of contains a pair which generates a nilpotent subgroup of class at most , then is an extension of a finite group by a torsion-free -Engel group. As a corollary, there exists an integer , depending only on and the derived length of , such that is finite. For , such depends only on .
A non-commutative free algebra of rank 0
A Non-free Parafree Group All of Whose Countable Subgroups are Free.
A non-quasiconvex subgroup of a hyperbolic group with an exotic limit set.
A Nonvanishing Theorem for the Cuspidal Cohomology of SL2 Over Imaginary Quadratic Integers.
A Note on Baer Groups of Finite Rank.
A note on barely transitive permutation groups satisfying
A note on central automorphisms of groups
A characterization of central automorphisms of groups is given. As an application, we obtain a new proof of the centrality of power automorphisms.