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Normal subgroups of finite multiply transitive permutation groups
Published online by Cambridge University Press: 22 January 2016
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Wagner [5] and Ito [2] proved the following theorems respectively.
THEOREM OF WAGNER. Let G be a triply transitive permutation group on a set Ω = {1,2, …, n}, and let n be odd and n > 4. If H is a normal subgroup (≠1) of G, then H is also triply transitive on Ω.
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- Copyright © Editorial Board of Nagoya Mathematical Journal 1974
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