CORDIS Project
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The project explores group theory, focusing on residually finite groups and their applications across various mathematical fields. By investigating group invariants and their behavior, the researcher aims to develop a comprehensive theory connecting diverse mathematical concepts.
Group theory is a central principle in mathematics.
The set of symmetries of an arbitrary mathematical object forms a group, so groups arise virtually in all areas in mathematics (and also in certain parts of physics and chemistry).
An infinite group is called residually finite, if the intersection of its subgroups of finite index is trivial.
This means that finite images approximate the group structure.
Important examples are finitely generated linear groups, specifically, arithmetic groups.
Th…
HUN-REN ALFRED RENYI INSTITUTE OF MATHEMATICS
HUN-REN RENYI ALFRED MATEMATIKAI KUTATOINTEZET
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