String C-groups as transitive subgroups of Sn
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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.
Cameron , P J , Fernandes , M E , Leemans , D & Mixer , M 2016 , ' String C-groups as transitive subgroups of S n ' , Journal of Algebra , vol. 447 , pp. 468-478 . https://doi.org/10.1016/j.jalgebra.2015.09.040
Journal of Algebra
© 2015, Publisher / the Author(s). This work is made available online in accordance with the publisher’s policies. This is the author created, accepted version manuscript following peer review and may differ slightly from the final published version. The final published version of this work is available at www.sciencedirect.com / https://dx.doi.org/10.1016/j.jalgebra.2015.09.040
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