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What is Theory of Permutation Geometries about?

The paper discusses the theory of permutation geometries, which are defined as structures in the semilattice of subpermutations, drawing parallels to matroid theory. It introduces key concepts such as subpermutations, their properties, and the conditions that define a permutation geometry of rank r. The authors also explore the relationships between permutation geometries and various group theories, particularly focusing on geometric groups and their automorphism groups.

Author

Loris De Vos

Language

EN