Let $G$ be a p-group and $Aut(G)$ be group of automorphisms of $G$
which properties of $G$ can help us with studding $Aut(G)$?
for example If $G$ is infinite/finite does this guaranty $Aut(G)$ be infinite/finite?
or knowing order of $G$ can help us with making some limits for order of $Aut(G)$?
2026-03-26 16:05:40.1774541140
invariant properties between p-group and it's automorphism
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Any infinite torsion group has infinite automorphism group. This is (allegedly) proved in R. Baer, Finite extensions of abelian groups with minimum condition, Trans. Amer. Math. Soc. 79 (1955), 521-540.