Normal subgroups of finite multiply transitive permutation groups
- 1 May 1974
- journal article
- research article
- Published by Cambridge University Press (CUP) in Nagoya Mathematical Journal
- Vol. 53, 103-107
- https://doi.org/10.1017/s0027763000016056
Abstract
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.Keywords
This publication has 2 references indexed in Scilit:
- Normal subgroups of quadruply transitive permutation groupsHokkaido Mathematical Journal, 1972
- Normal subgroups of triply-transitive permutation groups of odd degreeMathematische Zeitschrift, 1966