Re: [Algebra] Group problem.. Give me some hints.please!!

From: Arturo Magidin (magidin_at_math.berkeley.edu)
Date: 11/02/04 

Date: Tue, 2 Nov 2004 17:11:16 +0000 (UTC)

In article <10odqiu62a4oned@corp.supernews.com>,
Jim Heckman <wnzrfeurpxzna@lnubb.pbz.invalid> wrote:
>
>On 1-Nov-2004, magidin@math.berkeley.edu (Arturo Magidin)
>wrote in message <cm647k$2nnc$1@agate.berkeley.edu>:
>
>> In article <e9263b74.0411011130.15d2d331@posting.google.com>,
>> Eric <ericthms@yahoo.com> wrote:
>>
>> >S_n : gp permutations of order n
>> >
>> >If K is subgroup of S_n of index n, then K is isomorphic to S_n-1 ?
>> >
>> >I tried to use group action but it dosen't work well...
>> >: Since S_n acts on group of left cosets S_n/K, there is an induced
>> >homomorphism f: S_n -> A(S_n/K) where A(S_n/K) is permutations of
>> >S_n/K , so A(S_n/K) is isomorphic to S_n. Finally, I got a
>> >homomorphism f: S_n -> S_n.
>>
>> Which wouldn't tell you much, would it?
>
>Huh. I would have said it tells you everything.

Yeah, you're right. I wasn't thinking. 

-- 
======================================================================
"It's not denial. I'm just very selective about
 what I accept as reality."
    --- Calvin ("Calvin and Hobbes")
======================================================================
Arturo Magidin
magidin@math.berkeley.edu

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