Re: Group actions

In article <4385edd9$41$fuzhry+tra$mr2ice@xxxxxxxxxxxxxxxx>,
Shmuel (Seymour J.) Metz <spamtrap@xxxxxxxxxxxxxxxxxxxxxxxxxx> wrote:
>In <dm275g$255n$1@xxxxxxxxxxxxxxxxxx>, on 11/23/2005
> at 04:59 PM, magidin@xxxxxxxxxxxxxxxxx (Arturo Magidin) said:
>
>>When a group G acts on a set, we think of the elements of g as being
>>bijections from the set to itself.
>
>No. We have specific qualifiers for groups actions that have specific
>limitations, e.g., effective, transitive, but when we do not use those
>qualifiers then we have no such expectations.

Are you saying that a group acting on a set does not correspond to a
morphism from G to the symmetric group on the set?

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

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