Leyli Jafari, Stefan Kohl, E. A. O’Brien
Abstract
Let ω(G) denote the number of orbits on the elements of a group G under the action of its automorphism group. We determine all finite simple groups G such that ω(G)≤100.
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Let ω(G) denote the number of orbits on the elements of a group G under the action of its automorphism group. We determine all finite simple groups G such that ω(G)≤100.
Key concepts: Mathematics, Outer automorphism group, Inner automorphism, Automorphism, Simple (philosophy), Simple group, Alternating group, p-group