Re: Simple Group Theory Question - AGAIN
From: Acid Pooh (poopdeville_at_gmail.com)
Date: 11/29/04
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Date: 28 Nov 2004 16:27:42 -0800
eytan@tradertools.com (Mimsy Boro) wrote in message news:<4a1eb74d.0411281127.184a36b3@posting.google.com>...
> I can't seem to find any way to solve these problems!
>
> Let G be a cyclic group of order p when p is prime.
> Find all the automorphisims of G.
>
> Thanks In Advance,
An automorphism f:G -> G is a homomorphism which maps generators to
generators. So fix a generator g so that G = <g>. Since p is a
prime, g |-> g^n is an automorphism for 0<n and n less than or equal
to p-1.
You'll want to *prove* all of this before you turn it in.
'cid 'ooh
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