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arXiv · 1410.5863

String C-groups as transitive subgroups of Sym(n)

Peter J. Cameron·Maria Elisa Fernandes·Dimitri Leemans·Mark Mixer
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Abstract

If $Γ$ 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 $Γ$ 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.

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Peter J. Cameron, Maria Elisa Fernandes, Dimitri Leemans, Mark Mixer. 2014-10-21. String C-groups as transitive subgroups of Sym(n). https://arxiv.org/abs/1410.5863

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