Jan Essert (5 results)

Taschenbuch. Condition: Neu. Buildings, Group Homology and Lattices | The construction of Wagoner complexes, general homological stability for classical groups and a new construction of lattices on affine buildings | Jan Essert | Taschenbuch | Paperback | 180 S. | Englisch | 2015 | Südwestdeutscher Verlag für Hochschulschriften AG Co. KG | EAN 9783838120744 | Verantwortliche Person für die EU: BoD - Books on Demand, In de Tarpen 42, 22848 Norderstedt, info[at]bod[dot]de | Anbieter: preigu.…

Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This thesis addresses questions concerning the homology of groups related to buildings. We also give a new construction of lattices in such groups and investigate their group homology. Specifically, we construct a simplicial complex called the Wagoner complex associated to any group of Kac-Moody type. For a 2-spherical group G of Kac-Moody type, we show that the fundamental group of the Wagoner complex is almost always isomorphic to the Schur multiplier of the little projective group of G. Furthermore, we present a general method to prove homological stability for groups acting strongly transitively on weak spherical buildings. We use this method to prove strong homological stability results for special linear groups over infinite fields and for unitary groups over division rings, improving the previously best known results in many cases. Finally, we give a new construction method for buildings of types ~A2 and ~C2 with cocompact lattices in their automorphism groups, yielding very explicit presentations of the lattices as well as very explicit descriptions of the buildings. To the author's knowledge, these are the first known presentations of lattices in buildings of type ~C2. 180 pp. Englisch.…

Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Autor/Autorin: Essert JanJan Essert is working in geometric group theory, in particular onbuildings, classical groups, group homology and on lattices inlocally compact groups. He received his PhD from the Universityof Muenster in 2010.This thesi.…

Taschenbuch. Condition: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - This thesis addresses questions concerning the homology of groups related to buildings. We also give a new construction of lattices in such groups and investigate their group homology. Specifically, we construct a simplicial complex called the Wagoner complex associated to any group of Kac-Moody type. For a 2-spherical group G of Kac-Moody type, we show that the fundamental group of the Wagoner complex is almost always isomorphic to the Schur multiplier of the little projective group of G. Furthermore, we present a general method to prove homological stability for groups acting strongly transitively on weak spherical buildings. We use this method to prove strong homological stability results for special linear groups over infinite fields and for unitary groups over division rings, improving the previously best known results in many cases. Finally, we give a new construction method for buildings of types ~A2 and ~C2 with cocompact lattices in their automorphism groups, yielding very explicit presentations of the lattices as well as very explicit descriptions of the buildings. To the author's knowledge, these are the first known presentations of lattices in buildings of type ~C2.…

Taschenbuch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -This thesis addresses questions concerning the homology of groups related to buildings. We also give a new construction of lattices in such groups and investigate their group homology. Specifically, we construct a simplicial complex called the Wagoner complex associated to any group of Kac-Moody type. For a 2-spherical group G of Kac-Moody type, we show that the fundamental group of the Wagoner complex is almost always isomorphic to the Schur multiplier of the little projective group of G. Furthermore, we present a general method to prove homological stability for groups acting strongly transitively on weak spherical buildings. We use this method to prove strong homological stability results for special linear groups over infinite fields and for unitary groups over division rings, improving the previously best known results in many cases. Finally, we give a new construction method for buildings of types ~A2 and ~C2 with cocompact lattices in their automorphism groups, yielding very explicit presentations of the lattices as well as very explicit descriptions of the buildings. To the author's knowledge, these are the first known presentations of lattices in buildings of type ~C2.Books on Demand GmbH, Überseering 33, 22297 Hamburg 180 pp. Englisch.…