Radial functions on free groups and a decomposition of the regular representation into irreducible components.
Radical subgroups of lattice ordered groups
Radikale und koradikale Regeln
Radix redux: Normal subgroups of symplectic groups.
Rational Lie Algebras and p-Isomorphisms of Nilpotent Groups and Homotopy Types.
Realization of finitely generated profinite groups by maximal abelian extensions of fields.
Realizing dyadic factors of elementary type Witt rings and pro-2 Galois groups.
Receding polar regions of a spherical building and the center conjecture
We introduce the notion of a polar region of a spherical building and use some simple observations about polar regions to give elementary proofs of various fundamental properties of root groups. We combine some of these observations with results of Timmesfeld, Balser and Lytchak to give a new proof of the center conjecture for convex chamber subcomplexes of thick spherical buildings.
Recognizability in the lattice of convex -subgroups of a lattice-ordered group
RECOGNIZABLE LANGUAGES AND FINITE SEMILATTICES OF GROUPS.
Reduced Forms for Quadratic Words and Spines of 2-manifolds.
Reduction Theorems for Endomorphism Near-Rings.
Regular neighbourhoods and canonical decompositions for groups.
Relative commutator associated with varieties of -nilpotent and of -solvable groups
In this note we determine explicit formulas for the relative commutator of groups with respect to the subvarieties of -nilpotent groups and of -solvable groups. In particular these formulas give a characterization of the extensions of groups that are central relatively to these subvarieties.
Relative property (T) and linear groups
Relative property (T) has recently been used to show the existence of a variety of new rigidity phenomena, for example in von Neumann algebras and the study of orbit-equivalence relations. However, until recently there were few examples of group pairs with relative property (T) available through the literature. This motivated the following result: A finitely generated group admits a special linear representation with non-amenable -Zariski closure if and only if it acts on an Abelian group (of...
Relatively Homogeneous Locally Finite Permutation Groups.
Remarks on the Mal'cev completion of torsion-free locally nilpotent groups
Remarks on Varieties of Topological Groups
Representation filters and their application in the theory of local fields.
Representation growth of linear groups
Let be a group and the number of its -dimensional irreducible complex representations. We define and study the associated representation zeta function . When is an arithmetic group satisfying the congruence subgroup property then has an “Euler factorization”. The “factor at infinity” is sometimes called the “Witten zeta function” counting the rational representations of an algebraic group. For these we determine precisely the abscissa of convergence. The local factor at a finite place...