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[School of Natural Sciences PhD Scholarships] Abstract Regular Polytopes and Groups of Lie Type

Closes:

Salary: £21,805 per year

56

About the Project

Abstract regular polytopes have been part of mathematics since antiquity – familiar examples being regular polygons, the icosahedron and dodecahedron. It is a fundamental observation that the data for an abstract regular polytope can be encoded in its automorphism group. The relevant counterpart in a group is a C-string which is an (ordered) set of involutions (elements of order 2) satisfying certain properties. Consequently these polytopes can be studied by investigating C-strings in the…

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