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Using computer-aid approach to solve algebraic problems. Questions with this tag should typically include at least one other tag indicating what sort of algebraic problem is involved, such as ac.commutative-algebra or rt.representation-theory or ag.algebraic-geometry.

12 votes

Is there a way of canonically labelling permutation groups?

A quick way to obtain canonical conjugates of permutation groups would of course be nice, but hoping for that may be a bit too optimistic. Rather than trying to go that route, in your situation I woul …
Stefan Kohl's user avatar
  • 19.6k
7 votes
Accepted

My output of a group and inverse-closed subset in MAGMA is no longer inverse-closed when ent...

The point is that in GAP, a^b means b^-1*a*b rather than b*a*b^-1. If you adjust your relations accordingly, you get what you expect: gap> rels:=[F.1^2*F.2^(-1),F.2^2,F.3^5,F.1^-1*F.3*F.1*F.3^(-2), > …
Stefan Kohl's user avatar
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3 votes

Computer Algebra Systems that support variable sized matrices

I am not sure what precisely you are looking for, but the GAP package MatricesForHomalg provides elaborate functionality for dealing with matrices in the context of homological algebra. This package i …
Stefan Kohl's user avatar
  • 19.6k
0 votes
Accepted

Computational Algebra and Symbolic Computation - Where?

Some particular places have already been mentioned in the answers to the question you refer to, and I think it is not appropriate to give in this place advice on where to do your PhD in computational …
Stefan Kohl's user avatar
  • 19.6k