Cyclic presentations constitute a class of group definitions in which the number of generators equals the number of relators and a cyclic permutation of the generators carries relators into one ...

The study of symmetry and space through the medium of groups and their actions has long been a central theme in modern mathematics, indeed one that cuts across a wide spectrum of research within the ...

Algebraic topology seeks to classify and analyse spaces by translating geometric and continuous properties into algebraic invariants. Among these, the fundamental group stands as a primary tool: it ...

Inside the symmetries of a crystal shape, a postdoctoral researcher has unearthed a counterexample to a basic conjecture about multiplicative inverses. “I’m nearly at the end of the talk, and it’s ...

This workshop focuses on recent advances around the (co-)homology of general linear and related groups. These basic topological invariants are, for example, related to questions in algebraic K-theory ...

You scrambled up a Rubik’s cube, and now you want to put it back in order. What sequence of moves should you make? Surprise: You can answer this question with modern algebra. You might remember ...