Residual finiteness in permutation varieties of semigroups.
Residual finiteness of a class of semigroups presented by a single relation.
Residual Nilpotence in Polycyclic Groups.
Residual Properties of Free Groups. III.
Residually finite groups with nontrivial intersections of pairs of subgroups.
Residually finite groups with the same finite images
Residually finite PSP-groups
Resolutions for free partially commutative monoids.
Resolutions for smooth representations of the general linear group over a local field.
Resolutions of moduli spaces and homological stability
We describe partial semi-simplicial resolutions of moduli spaces of surfaces with tangential structure. This allows us to prove a homological stability theorem for these moduli spaces, which often improves the known stability ranges and gives explicit stability ranges in many new cases. In each of these cases the stable homology can be identified using the methods of Galatius, Madsen, Tillmann and Weiss.
Restoration of structure
Restricted Boolean group rings
In this paper we study restricted Boolean rings and group rings. A ring is if every proper homomorphic image of is boolean. Our main aim is to characterize restricted Boolean group rings. A complete characterization of non-prime restricted Boolean group rings has been obtained. Also in case of prime group rings necessary conditions have been obtained for a group ring to be restricted Boolean. A counterexample is given to show that these conditions are not sufficient.
Restricted set addition in Abelian groups: results and conjectures
We present a system of interrelated conjectures which can be considered as restricted addition counterparts of classical theorems due to Kneser, Kemperman, and Scherk. Connections with the theorem of Cauchy-Davenport, conjecture of Erdős-Heilbronn, and polynomial method of Alon-Nathanson-Ruzsa are discussed.The paper assumes no expertise from the reader and can serve as an introduction to the subject.
Restricted set addition in groups. II: A generalization of the Erdős-Heilbronn conjecture.
Restricted subgroups of wreath products of groups
Restricted walks in regular trees.
Restricting supercharacters of the finite group of unipotent uppertriangular matrices.
Retractions and S-endomorphisms.
Retracts and monomorphism monoids in semigroup varieties.
Retracts of free monoids are nowhere dense with respect to finite group topologies and p-adic topologies.