#17226: LatticePoset: add Frattini sublattice
-------------------------------------+-------------------------------------
Reporter: jmantysalo | Owner:
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-6.9
Component: combinatorics | Resolution:
Keywords: poset, lattice | Merged in:
Authors: Jori Mäntysalo | Reviewers: Travis Scrimshaw
Report Upstream: N/A | Work issues:
Branch: | Commit:
u/jmantysalo/frattini_sublattice | b20f025dc034b16e3f1d53968668030131ef8ae1
Dependencies: #18567 | Stopgaps:
-------------------------------------+-------------------------------------
Changes (by tscrim):
* reviewer: => Travis Scrimshaw
Comment:
Two minor nitpicks:
{{{#!diff
- Frattini sublattice `\Phi(L)` is the intersection of all
+ The Frattini sublattice `\Phi(L)` is the intersection of all
proper maximal sublattices of `L`. It is also the set of
"non-generators" - if the sublattice generated by set `S` of
- elements is whole lattice then also `S \setminus \Phi(L)`
+ elements is whole lattice, then also `S \setminus \Phi(L)`
generates whole lattice.
}}}
Once that's done, go ahead and set a positive review on my behalf. Thanks.
I agree that using the join and meet matrices of the ambient lattice could
be used to speedup sublattice creation. However, as you said, this would
be a separate ticket.
--
Ticket URL: <http://trac.sagemath.org/ticket/17226#comment:11>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
--
You received this message because you are subscribed to the Google Groups
"sage-trac" group.
To unsubscribe from this group and stop receiving emails from it, send an email
to [email protected].
To post to this group, send email to [email protected].
Visit this group at http://groups.google.com/group/sage-trac.
For more options, visit https://groups.google.com/d/optout.
