Project description
New methods for constructing infinite monster groups
Groups are abstract algebraic structures that mathematically encode the notion of symmetry. They are ubiquitous in all areas of mathematics and also have important implications for theoretical physics and computer science. The theory of infinite monster groups is an important part of group theory, offering examples of infinite groups with exceptional geometric, analytic and algebraic properties. Funded by the Marie Skłodowska-Curie Actions programme, the SPECMON project plans to develop new methods for constructing infinite monster groups. These methods will be used to study key open questions such as Diximier's problem on unitarisable groups, Kaplansky's zero-divisor conjecture and the Baum–Connes conjecture.
Fields of science
Programme(s)
Funding Scheme
MSCA-IF-EF-ST - Standard EF
Coordinator
01069 Dresden
Germany
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