We prove that for any integer n ≥ 12, and for every r in the interval [3, . . . , Floor((n−1)/2)], the group A_n has a string C-group representation of rank r, and hence that the only alternating group whose set of such ranks is not an interval is A_11.publishe
We give examples of finite string C-groups (the automorphism groups of abstract regular polytopes) t...
Every Ree group R(q), with q not equal 3 an odd power of 3, is the automorphism group of an abstract...
This paper examines abstract regular polytopes whose automorphism group is the projective special li...
We prove that the highest rank of a string C-group constructed from an alternating group An is 3 if ...
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...
AbstractThere is a well-known correspondence between abstract regular polytopes and string C-groups....
Using the correspondence between abstract regular polytopes and string C-groups, in a recent paper [...
We determine the ranks of string C-group representations of 4-dimensional projective symplectic grou...
This paper determines the non-degenerate string C-groups of order1024. For groups of rank 3, we use ...
If Γ is a string C-group which is isomorphic to a transitive subgroup of the symmetric group Sn (oth...
We present new algorithms to classify all string C-group representations of a given group G. We use ...
We give a rank augmentation technique for rank 3 string C-group representations of the symmetric gro...
We give presentations for the C-groups of rank n−1 of the symmetric group Sn. We also classify C-gro...
AbstractThis paper studies C-group permutation representation graphs, or for short, CPR graphs. C-gr...
We give examples of finite string C-groups (the automorphism groups of abstract regular polytopes) t...
Every Ree group R(q), with q not equal 3 an odd power of 3, is the automorphism group of an abstract...
This paper examines abstract regular polytopes whose automorphism group is the projective special li...
We prove that the highest rank of a string C-group constructed from an alternating group An is 3 if ...
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...
AbstractThere is a well-known correspondence between abstract regular polytopes and string C-groups....
Using the correspondence between abstract regular polytopes and string C-groups, in a recent paper [...
We determine the ranks of string C-group representations of 4-dimensional projective symplectic grou...
This paper determines the non-degenerate string C-groups of order1024. For groups of rank 3, we use ...
If Γ is a string C-group which is isomorphic to a transitive subgroup of the symmetric group Sn (oth...
We present new algorithms to classify all string C-group representations of a given group G. We use ...
We give a rank augmentation technique for rank 3 string C-group representations of the symmetric gro...
We give presentations for the C-groups of rank n−1 of the symmetric group Sn. We also classify C-gro...
AbstractThis paper studies C-group permutation representation graphs, or for short, CPR graphs. C-gr...
We give examples of finite string C-groups (the automorphism groups of abstract regular polytopes) t...
Every Ree group R(q), with q not equal 3 an odd power of 3, is the automorphism group of an abstract...
This paper examines abstract regular polytopes whose automorphism group is the projective special li...
DOI
Add to ORKG