multiply transitive
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2021 ◽  
Vol 92 ◽  
pp. 103236
Author(s):  
Alex Schaefer ◽  
Eric Swartz
Keyword(s):  

1999 ◽  
Vol 59 (3) ◽  
pp. 409-420
Author(s):  
Michael J.J. Barry ◽  
Michael B. Ward

Every group acts transitively by conjugation on each of its conjugacy classes of elements. It is natural to wonder when this action becomes multiply transitive. In this paper, we determine all finite groups which act faithfully and 2-transitively on a conjugacy class of elements. We also give some consequences including a solvability criterion based on what fraction of elements belong to conjugacy classes upon which the group acts faithfully and 2–transitively.


1997 ◽  
Vol 32 (1-2) ◽  
pp. 95-99
Author(s):  
Gloria Rinaldi ◽  
Simonetta Spaggiari

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