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.SCOPUS: ar.jinfo:eu-repo/semantics/publishe
We study incidence geometries that are thin and residually connected. These geometries generalise a...
We describe the smallest $C$-groups with complete diagram whose rank 3 residues are hypermaps of typ...
We give examples of finite string C-groups (the automorphism groups of abstract regular polytopes) t...
If $\Gamma$ is a string C-group which is isomorphic to a transitive subgroup of the symmetric group ...
There is a well-known correspondence between abstract regular polytopes and string C-groups. In this...
AbstractIn the Atlas of abstract regular polytopes for small almost simple groups by Leemans and Vau...
AbstractThere is a well-known correspondence between abstract regular polytopes and string C-groups....
We give a rank augmentation technique for rank 3 string C-group representations of the symmetric gro...
We show that a rank reduction technique for string C-group representations first used in [Adv. Math....
We prove that the highest rank of a string C-group constructed from an alternating group An is 3 if ...
Up to isomorphism and duality, there are exactly two nondegenerate abstract regular polytopes of ran...
Using the correspondence between abstract regular polytopes and string C-groups, in a recent paper [...
We prove that for any integer n ≥ 12, and for every r in the interval [3, . . . , Floor((n−1)/2)], t...
We determine the ranks of string C-group representations of 4-dimensional projective symplectic grou...
We present new algorithms to classify all string C-group representations of a given group G. We use ...
We study incidence geometries that are thin and residually connected. These geometries generalise a...
We describe the smallest $C$-groups with complete diagram whose rank 3 residues are hypermaps of typ...
We give examples of finite string C-groups (the automorphism groups of abstract regular polytopes) t...
If $\Gamma$ is a string C-group which is isomorphic to a transitive subgroup of the symmetric group ...
There is a well-known correspondence between abstract regular polytopes and string C-groups. In this...
AbstractIn the Atlas of abstract regular polytopes for small almost simple groups by Leemans and Vau...
AbstractThere is a well-known correspondence between abstract regular polytopes and string C-groups....
We give a rank augmentation technique for rank 3 string C-group representations of the symmetric gro...
We show that a rank reduction technique for string C-group representations first used in [Adv. Math....
We prove that the highest rank of a string C-group constructed from an alternating group An is 3 if ...
Up to isomorphism and duality, there are exactly two nondegenerate abstract regular polytopes of ran...
Using the correspondence between abstract regular polytopes and string C-groups, in a recent paper [...
We prove that for any integer n ≥ 12, and for every r in the interval [3, . . . , Floor((n−1)/2)], t...
We determine the ranks of string C-group representations of 4-dimensional projective symplectic grou...
We present new algorithms to classify all string C-group representations of a given group G. We use ...
We study incidence geometries that are thin and residually connected. These geometries generalise a...
We describe the smallest $C$-groups with complete diagram whose rank 3 residues are hypermaps of typ...
We give examples of finite string C-groups (the automorphism groups of abstract regular polytopes) t...
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