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|Title:||C-groups of high rank for the symmetric groups|
|Author:||Fernandes, Maria Elisa|
Independent generating sets
Inductively minimal geometries
|Abstract:||We give presentations for the C-groups of rank n – 1 of the symmetric group Sn. We also classify C-groups of rank n – 2 for Sn. We show that all these C-groups correspond to regular hypertopes, that is, thin, residually connected flag-transitive geometries. Therefore we generalise some similar results obtained in the framework of string C-groups that are in one-to-one correspondence with abstract regular polytopes.|
|Appears in Collections:||CIDMA - Artigos|
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