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**Is your feature request related to a problem? Please describe.**
[Brun et. al](https://arxiv.org/pdf/quant-ph/0610092) makes the following remark: "The entanglement-assisted quantum codes don't r…
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We'd like to have the basics of homological algebra (complexes, chain maps, homotopy equivalences, exact sequences, homology).
There will be some overlap with the theory of simplicial objects: thi…
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As discussed yesterday with @fingolfin : At the moment it is not possible to write generic code which uses functions like `direct_sum`, `tensor_product`, or even `hom`. The reason is that, depending o…
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We should change the HomotopyGroup_type so that when n is larger than 1 we have the type of abelian groups. This will allow us to do abelian group things to the higher homotopy groups.
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Currently, we only use the "Advanced Search Options" button for [abelian varieties](https://beta.lmfdb.org/Variety/Abelian/Fq/) and [finite groups](https://beta.lmfdb.org/Groups/Abstract/). We've bee…
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Fraleigh
# Groups and Subgroups
- [ ] 1- Introduction and Examples
- [ ] 2 -Binary Operations
- [ ] 3 - Isomorphic Binary Structures
- [ ] 4 - Groups
- [ ] 5 - Subgroups
- [ ] 6 - Cyclic Gr…
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Now that we have tensor products of abelian groups in #2021, a nice exercise (and something useful for calculations) would be to show that
$$\mathbb{Z}/a\mathbb{Z} \otimes_{\mathbb{Z}} \mathbb{Z}/b…
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A good starting point might be to look at the "Handbook of computational group theory" section 8.8.1 which deals with *finite* polycyclic groups. For the general case and also a bit more details, look…
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### Steps To Reproduce
Discovered while working on #37705
```sage
sage: E = EllipticCurve(GF(103), [3, 5])
....: S = E.point_homset(); S
Abelian group of points on Elliptic Curve defined by …
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So we have an `Abelian` type and a `Commutative` typeclass, right? And categorically there's a forgetful functor from abelian groups to commutative monoids --- and that functor has a left adjoint, whi…
hrb90 updated
6 years ago