Minimal Odd Order Automorphism Groups
نویسندگان
چکیده
We show that 3 is the smallest order of a non-trivial odd order group which occurs as the full automorphism group of a finite group.
منابع مشابه
Asymptotic automorphism groups of Cayley digraphs and graphs of abelian groups of prime-power order
We show that almost every Cayley graph Γ of an abelian group G of odd prime-power order has automorphism group as small as possible. Additionally, we show that almost every Cayley (di)graph Γ of an abelian group G of odd prime-power order that does not have automorphism group as small as possible is a normal Cayley (di)graph of G (that is, GL/Aut(Γ)).
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