#16464: cyclotomic_cosets for any finite ring
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Reporter: vdelecroix | Owner:
Type: enhancement | Status: needs_info
Priority: major | Milestone: sage-6.3
Component: number theory | Resolution:
Keywords: | Merged in:
Authors: Vincent Delecroix | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
u/vdelecroix/16464 | 9b1544b90970887f5e22a4aa1e93db04cd18ce90
Dependencies: | Stopgaps:
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Changes (by ncohen):
* status: needs_review => needs_info
Comment:
Hello Vincent !
There is a small commit on public/16464 for typos.
I've got a question on the documentation, however : you say at the
beginnig that "the orbits of the group action of `R^*` on `R` are called
the cyclotomic cosets". From which it follows that the only two cyclotomic
cosets of a finite Field are `R^*` and 0, doesn't it ?
I mean : your function takes `q` as an argument, though your definition of
what a cyclotomic coset is does not involve `q` in any way. Sooooo I don't
get it : shouldn't they be called "cyclotomic cosets with respect to q" or
something ?
Nathann
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Ticket URL: <http://trac.sagemath.org/ticket/16464#comment:8>
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