Geometries close to spherical buildings with residual linear spaces

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Project objective

Research objectives and content My project aims at making a general theory of the flag-transitive L-diagrams. It relies on the classification of the rank two case, namely the one of the finite flag-transitive linear spaces. The idea is that a treatment of the cases of small ranks can be used as a basis to study the cases of higher rank. In rank three, there are three L-diagrams. The most interesting one is L.L* since the other two have been classified under some general assumptions. The situation in higher rank is completely unexplored. My study of L-diagrams would treat in parallel on the one hand the question of the classification of the rank three L-diagram L .L* and on the other hand repercussions of results in rank three for the higher rank. This original and ambitious project has akeady been started in an encouraging way in my Ph. D. Training content (objective, benefit and expected impact) Prof. P. Cameron is one of the top experts in my field of research, especially in questions | related with group theory and in combinatorics. The training should therefore complement in a powerfull way my formation of geometer and enable me to become an expert of international level in the context of 'Diagram Geometries and the Geometries of Groups'. Links with industry / industrial relevance (22)

Original text from CORDIS.

Participants

• QUEEN MARY AND WESTFIELD COLLEGE - UNIVERSITY OF LONDON · LONDONCoordinatorUnited Kingdom
• Not availableCity levelBelgium

Links

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