locally toroidal abstract polytopes and y-presentations of ... · locally toroidal abstract...
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Dima Pasechnik
Plzen, July 2018
(University of Oxford)
Locally toroidal abstract polytopes and Y-presentations of sporadic groups
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Coxeter groups
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Classification of finite irreducible Coxeter groups
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Affine Coxeter groups and honeycombs
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C-string groups and abstract regular polytopes
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Parabolics, C-string groups, intersection property
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Universal, locally X,... abstract regular polytopes
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Locally toroid a.r. polytopes
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Y-presentations - enter sporadic simple groups
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Twisting Y-diagrams
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Main Result
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Sketch of proof
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Further extensions
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Further extensions (cont.)
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Thank you!