On multiply transitive locally finite permutation groups

1989 ◽  
Vol 53 (5) ◽  
pp. 417-423
Author(s):  
Mitsuo Yoshizawa
Keyword(s):  
Permutation Groups ◽  
Locally Finite ◽  
Multiply Transitive

scholarly journals Normal subgroups of finite multiply transitive permutation groups

1974 ◽  
Vol 53 ◽  
pp. 103-107 ◽  
Author(s):  
Eiichi Bannai
Keyword(s):  
Normal Subgroup ◽  
Permutation Group ◽  
Permutation Groups ◽  
Transitive Permutation Group ◽  
Normal Subgroups ◽  
Multiply Transitive

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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