Jason.ma
Feb17-10, 05:39 PM
Recently I am thinking about a automorphism group problem.
Let $Z_m$ be the cyclic group.
the semi-direct product:
$G1=Z_{m^2}\rtimes_r1 Z_{n}$,
$G2= (Z_{m}\times Z_{m}) \rtimes_r2 Z_{n}$.
suppose G1 and G2 have trivial center.
we got Aut(G1) and Aut(G2).
Can you tell me , which one is larger?
|Aut(G1)| ?
or |Aut(G2)|?
thanks
Let $Z_m$ be the cyclic group.
the semi-direct product:
$G1=Z_{m^2}\rtimes_r1 Z_{n}$,
$G2= (Z_{m}\times Z_{m}) \rtimes_r2 Z_{n}$.
suppose G1 and G2 have trivial center.
we got Aut(G1) and Aut(G2).
Can you tell me , which one is larger?
|Aut(G1)| ?
or |Aut(G2)|?
thanks