Topic: sign of permutation
Chris Hughes (Jun 03 2020 at 08:58):
What do people think about defining
sign on elements of any group acting on a finite set? It feels like a bit of a historical accident whether things about group actions became definitions about symmetric groups or definitions about group actions.
Johan Commelin (Jun 03 2020 at 09:01):
How much is
sign being used currently? I would say, go for it!
Reid Barton (Jun 03 2020 at 11:46):
Wouldn't that mean instead of writing simply
sign p, you have to specify both the group element and the set being acted on somehow? And once you have both of those, you get a permutation anyways. So I'm not seeing how the change would help.
Chris Hughes (Jun 03 2020 at 16:14):
It would mean you'd have to write
sign \alpha p, the main advantage is slightly shorter notation, it's not a radical change, but might be a bit nicer.
Last updated: May 10 2021 at 08:14 UTC