The string C-group representations of the Suzuki, Rudvalis and O'Nan sporadic groups

Keywords: Abstract regular polytopes, string C-group representations, sporadic simple groups, algorithms

Abstract

We present new algorithms to classify all string C-group representations of a given group G. We use these algorithms to classify all string C-group representations of the Suzuki, Rudvalis and O’Nan sporadic groups. The new rank three algorithms also permit us to get all string C-group representations of rank three for the Conway group Co2 and the Fischer group Fi22.

Author Biography

Jessica Mulpas, Université Libre de Bruxelles, Belgium

 

   
Published
2021-06-17
Section
The Marston Conder Issue of ADAM