I'm trying to understand outer automorphisms better. A question that popped in my head was- What do outer automorphisms of most alternating groups of order n mean intuitively? I think that there are automorphisms generated in the alternating group due to conjugation with the elements of symmetric group of order n. I'm looking for an inuitive understanding. To put it differently, what are the automorphisms of alternating group that inner automorphisms can't produce in an alternating group?
2026-04-01 07:22:38.1775028158
Outer automorphisms of an alternating group
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