If Γ is a string C-group which is isomorphic to a transitive subgroup of the symmetric group Sn (other than Sn and the alternating group An), then the rank of Γ is at most n/2+1, with finitely many exceptions (which are classified). It is conjectured that only the symmetric group has to be excluded.PostprintPeer reviewe
AbstractThis paper presents a new algorithm to classify all transitive subgroups of the symmetric gr...
Using the correspondence between abstract regular polytopes and string C-groups, in a recent paper [...
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 ...
We give presentations for the C-groups of rank n−1 of the symmetric group Sn. We also classify C-gro...
We prove that the highest rank of a string C-group constructed from an alternating group An is 3 if ...
We prove that for any integer n ≥ 12, and for every r in the interval [3, . . . , Floor((n−1)/2)], t...
This paper determines the non-degenerate string C-groups of order1024. For groups of rank 3, we use ...
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....
There is a well-known correspondence between abstract regular polytopes and string C-groups. In this...
We determine the ranks of string C-group representations of 4-dimensional projective symplectic grou...
AbstractThere is a well-known correspondence between abstract regular polytopes and string C-groups....
A cwatset of order n can be represented by a transitive subgroup of Sn. Previous work has shown that...
We present new algorithms to classify all string C-group representations of a given group G. We use ...
AbstractThis paper presents a new algorithm to classify all transitive subgroups of the symmetric gr...
Using the correspondence between abstract regular polytopes and string C-groups, in a recent paper [...
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 ...
We give presentations for the C-groups of rank n−1 of the symmetric group Sn. We also classify C-gro...
We prove that the highest rank of a string C-group constructed from an alternating group An is 3 if ...
We prove that for any integer n ≥ 12, and for every r in the interval [3, . . . , Floor((n−1)/2)], t...
This paper determines the non-degenerate string C-groups of order1024. For groups of rank 3, we use ...
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....
There is a well-known correspondence between abstract regular polytopes and string C-groups. In this...
We determine the ranks of string C-group representations of 4-dimensional projective symplectic grou...
AbstractThere is a well-known correspondence between abstract regular polytopes and string C-groups....
A cwatset of order n can be represented by a transitive subgroup of Sn. Previous work has shown that...
We present new algorithms to classify all string C-group representations of a given group G. We use ...
AbstractThis paper presents a new algorithm to classify all transitive subgroups of the symmetric gr...
Using the correspondence between abstract regular polytopes and string C-groups, in a recent paper [...
We give examples of finite string C-groups (the automorphism groups of abstract regular polytopes) t...