Add to ORKGThis thesis studies the homology stability problem for general linear groups over Euclidean rings and over subrings of the field of rational numbers. Affine linear groups, acting on affine space rather than linear space, are also considered. In order to get stability results one establishes that certain posets of ordered unimodular sequences of vectors are Cohen-Macaulay. The ideas are first illustrated by reproving the Nakaoka stability theorem on homology stability for symmetric groups
Abstract. We give a complete and detailed proof of Harer’s stability theorem for the homology of map...
Abstract. Homological stability for sequences Gn → Gn+1 → · · · of groups is often proved by stud...
For any smooth compact manifold W of dimension of at least two we prove that the classifying spaces ...
This thesis studies the homology stability problem for general linear groups over Euclidean rings an...
Abstract. We prove a general homological stability theorem for families of auto-morphism groups in c...
The study of the homology groups of classical group over a ring R with coefficient A, where A is a c...
The study of the homology groups of classical group over a ring R with coefficient A, where A is a c...
The homology groups of many natural sequences of groups fGng¥n=1 (e.g. general linear groups, map-pi...
We do not know many examples of sequences of groups fitting the categorical framework of pre-braided...
© 2014 Dr. TriThang TranThis thesis has two purposes. The first is to serve as an introductory surve...
Associated to every group with a weak spherical Tits system of rank n+ 1 with an appropriate rank n ...
We prove that Thompson’s group V is acyclic. The strategy of our proof stems from the context of hom...
We prove that Thompson’s group V is acyclic. The strategy of our proof stems from the context of hom...
We construct analogues of FI-modules where the role of the symmetric group is played by the general ...
Let F be a field of characteristic zero and let ft,n be the stabilization homomorphism Hn(SLt(F), Z)...
Abstract. We give a complete and detailed proof of Harer’s stability theorem for the homology of map...
Abstract. Homological stability for sequences Gn → Gn+1 → · · · of groups is often proved by stud...
For any smooth compact manifold W of dimension of at least two we prove that the classifying spaces ...
This thesis studies the homology stability problem for general linear groups over Euclidean rings an...
Abstract. We prove a general homological stability theorem for families of auto-morphism groups in c...
The study of the homology groups of classical group over a ring R with coefficient A, where A is a c...
The study of the homology groups of classical group over a ring R with coefficient A, where A is a c...
The homology groups of many natural sequences of groups fGng¥n=1 (e.g. general linear groups, map-pi...
We do not know many examples of sequences of groups fitting the categorical framework of pre-braided...
© 2014 Dr. TriThang TranThis thesis has two purposes. The first is to serve as an introductory surve...
Associated to every group with a weak spherical Tits system of rank n+ 1 with an appropriate rank n ...
We prove that Thompson’s group V is acyclic. The strategy of our proof stems from the context of hom...
We prove that Thompson’s group V is acyclic. The strategy of our proof stems from the context of hom...
We construct analogues of FI-modules where the role of the symmetric group is played by the general ...
Let F be a field of characteristic zero and let ft,n be the stabilization homomorphism Hn(SLt(F), Z)...
Abstract. We give a complete and detailed proof of Harer’s stability theorem for the homology of map...
Abstract. Homological stability for sequences Gn → Gn+1 → · · · of groups is often proved by stud...
For any smooth compact manifold W of dimension of at least two we prove that the classifying spaces ...