The group Sp10(ℤ) is (2,3)-generated
It is proved that the group Sp10(ℤ) is generated by an involution and an element of order 3.
The Grushko decomposition of a finite graph of finite rank free groups: an algorithm.
The Heart of Prime Ideals in Ore Extensions.
The Homological Algebra of Artin Groups.
The homology of Peiffer products of groups.
The Homotype Type of a Combinatorially Aspherical Presentation.
The Hughes subgroup
Let be a group and a prime. The subgroup generated by the elements of order different from is called the Hughes subgroup for exponent . Hughes [3] made the following conjecture: if is non-trivial, its index in is at most . There are many articles that treat this problem. In the present Note we examine those of Strauss and Szekeres [9], which treats the case and arbitrary, and that of Hogan and Kappe [2] concerning the case when is metabelian, and arbitrary. A common proof is...
The Hurwitz action and braid group orderings.
The interplay between linear representations of the braid group.
The Interval Topology of an -Group
The Isomorphism Problem for a Class of One-Relator Groups.
The Isomorphism Problem for One-relator Groups with Non-trivial Centre.
The isomorphism problem for toral relatively hyperbolic groups
We provide a solution to the isomorphism problem for torsion-free relatively hyperbolic groups with abelian parabolics. As special cases we recover solutions to the isomorphism problem for: (i) torsion-free hyperbolic groups (Sela, [60] and unpublished); and (ii) finitely generated fully residually free groups (Bumagin, Kharlampovich and Miasnikov [14]). We also give a solution to the homeomorphism problem for finite volume hyperbolic -manifolds, for . In the course of the proof of the main result,...
The Johnson homomorphism and the second cohomology of .
The Kazhdan property of the mapping class group of closed surfaces and the first cohomology group of its cofinite subgroups.
The lattice of solid -subgroups of a retractable group
The lattices and Möbius functions of stable closed subrootsystems and Hyperplane complements for classical Weyl Groups.
The local finiteness of some groups generated by a conjugacy class of order 3 elements.
The lower central series of a fiber-type arrangement.
The lower central series of the free partially commutative group.