Unramified Brauer groups of finite and infinite groups
By Primoz Moravec. 2012
64 citations recorded by the source corpus.
The Bogomolov multiplier is a group theoretical invariant isomorphic to the unramified Brauer group of a given quotient space. We derive a homological version of the Bogomolov multi- plier, prove a Hopf-type formula, find a five term exact sequence corresponding to this invariant, and describe the role of the Bogomolov multiplier in the theory of central extensions. A new description of the Bogomolov multiplier of a nilpotent group of class two is obtained. We define the Bogomolov multiplier within K-theory and show that proving its triviality is equivalent to solving a long-standing problem posed by Bass. An algorithm for computing the Bogomolov multiplier is developed.
Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/0416d5adafc8e09bc77e2df0e854a0a16ac95aa0
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In Discrete Mathematics and Combinatorics
In Geometry and Topology
- F. Catanese
- Ingrid Bauer
- Fritz Grunewald
- Matteo Penegini
- G. González‐diez
- Y. Odaka
- A. Jaikin‐Zapirain
- L. Gottsche
In Mathematical Physics
- F. Catanese
- Ingrid Bauer
- Fritz Grunewald
- Matteo Penegini
- G. González‐diez
- A. Jaikin‐Zapirain
- L. Gottsche
- Vivek V. Shende
Citations in the corpus
- Topological methods in moduli theory (2014, background): “Similar results have been obtained by Kulikov and Kharlamov [240], who use geometric arguments for the construction of semigroups similar to the ones constructed by Fried and Völklein, while a purely algebraic construction of a group similar to our group K can be found in work of Moravec on unramifi”