The geometry and spectrum of the one holed torus.
The geometry of abstract groups and their splittings.
A survey of splitting theorems for abstract groups and their applications. Topics covered include preliminaries, early results, Bass-Serre theory, the structure of G-trees, Serre's applications to SL2 and length functions. Stallings' theorem, results about accessibility and bounds for splittability. Duality groups and pairs; results of Eckmann and collaborators on PD2 groups. Relative ends, the JSJ theorems and the splitting results of Kropholler and Roller on PDn groups. Notions of quasi-isometry,...
The Geometry of Representations of Am .
The Geometry of Self-adjunction
The geometry of the set of characters iduced by valuations.
The Gieseking manifold and its surgery orbifolds.
The globals of pseudovarieties of ordered semigroups containing and an application to a problem proposed by Pin
Given a basis of pseudoidentities for a pseudovariety of ordered semigroups containing the 5-element aperiodic Brandt semigroup , under the natural order, it is shown that the same basis, over the most general graph over which it can be read, defines the global. This is used to show that the global of the pseudovariety of level of Straubing-Thérien’s concatenation hierarchy has infinite vertex rank.
The globals of pseudovarieties of ordered semigroups containing B2 and an application to a problem proposed by Pin
Given a basis of pseudoidentities for a pseudovariety of ordered semigroups containing the 5-element aperiodic Brandt semigroup B2, under the natural order, it is shown that the same basis, over the most general graph over which it can be read, defines the global. This is used to show that the global of the pseudovariety of level 3/2 of Straubing-Thérien's concatenation hierarchy has infinite vertex rank.
The graded Lie algebra of a Kähler group.
The graph of generating sets of an abelian group
The Gray filtration on phantom maps
This paper is a study of the Gray index of phantom maps. We give a new, tower theoretic, definition of the Gray index, which allows us to study the naturality properties of the Gray index in some detail. McGibbon and Roitberg have shown that if f* is surjective on rational cohomology, then the induced map on phantom sets is also surjective. We show that if f* is surjective just in dimension k, then f induces a surjection on a certain subquotient of the phantom set. If the condition...
The greatest Archimedean ideal in a semigroup
The greatest idempotent separating congruence on an ....-unipotent semigroup.
The Grothendieck group of G-equivariant modules over coordinate rings of G-orbits
The group of automorphisms of a commutative algebra.
The group of automorphisms of algebraic function fields.
The group of homomorphisms of Abelian torsion groups.
The group of units as a maximal inverse subsemigroup.
The group ring of Richard Thompson’s Group has no minimal non-zero ideals
We use a total order on Thompson’s group to show that the group ring has no minimal non-zero ideals.
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.