Bounds and quotient actions of innately transitive groups
2005 ◽
Vol 79
(1)
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pp. 95-112
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AbstractFinite innately transitive permutation groups include all finite quasiprimitive and primitive permutation groups. In this paper, results in the theory of quasiprimitive and primitive groups are generalised to innately transitive groups, and in particular, we extend results of Praeger and Shalev. Thus we show that innately transitive groups possess parameter bounds which are similar to those for primitive groups. We also classify the innately transitive types of quotient actions of innately transitive groups.
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1966 ◽
Vol 27
(1)
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pp. 159-169
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2006 ◽
Vol 80
(1)
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pp. 45-64
2020 ◽
Vol 63
(4)
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pp. 1071-1091
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2008 ◽
Vol 85
(2)
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pp. 283-287
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2015 ◽
Vol 102
(1)
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pp. 20-33