Counting the Orbits on Finite Simple Groups under the Action of the Automorphism Group - Suzuki Groups vs. Linear Groups
نویسنده
چکیده
We determine the number ω(G) of orbits on the (finite) group G under the action of Aut(G) for G ∈ {PSL(2, q),SL(2, q),PSL(3, 3),Sz(2)}, covering all of the minimal simple groups as well as all of the simple Zassenhaus groups. This leads to recursive formulae on the one hand, and to the equation ω(Sz(q)) = ω(PSL(2, q)) + 2 on the other. MSC 20E32, 20F28, 20G40, 20-04
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تاریخ انتشار 2004