String C-groups as transitive subgroups of Sym(n)
Abstract
If $\Gamma$ is a string C-group which is isomorphic to a transitive subgroup of the symmetric group Sym(n) (other than Sym(n) and the alternating group Alt(n)), then the rank of $\Gamma$ 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.
- Publication:
-
arXiv e-prints
- Pub Date:
- October 2014
- DOI:
- 10.48550/arXiv.1410.5863
- arXiv:
- arXiv:1410.5863
- Bibcode:
- 2014arXiv1410.5863C
- Keywords:
-
- Mathematics - Group Theory