CORDIS Project
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This project investigates the computability of problems in group theory and their implications for geometry. It explores how certain problems related to symmetry and geometric shapes can be classified as computable or not, with potential applications in cryptography.
Group theory is the study of symmetry in mathematical objects, such as rotations of geometric shapes.Groups help us understand the underlying structure of mathematical objects by revealing their symmetries.To understand groups we need an efficient way to describe them.
Some groups admit a finite presentation;a finite set of building blocks, along with a finite collection of rules on when we can substitute one setof blocks for another.
These descriptions are convenient.
However, results in algebr…
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