Unravelled Abstract Regular Polytopes

2021/05/05 by Robert Nicolaides, Nicolaides, Robert, Peter Rowley +1
Mathematics · Computer Science · Engineering · #Finite Group Theory Research #Advanced Graph Theory Research #graph theory and CDMA systems

paper · pdf · doi:10.48550/arxiv.2105.01921

Abstract

This paper introduces the notion of an unravelled abstract regular polytope, and proves that \SL₃(q) \rtimes , where t is the transpose inverse automorphism of \SL₃(q), possesses such polytopes for various congruences of q. A large number of small examples of such polytopes are given, along with extensive details of their various properties.

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