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| 2012-12-27 06:15:39 +0200 | commented question | Orbits on group actions acting on sets But can it be directly done in sage? |
| 2012-12-26 10:56:11 +0200 | asked a question | Orbits on group actions acting on sets Hello! I am wondering how to solve the following problem efficiently. I have a Permuation Group $G$ acting on $A = {1,\ldots,n}$ and I wish to compute the orbits of $G$ but not the ones of $G$ acting on $A$ but rather for $G$ acting on some $S \subseteq A \times A$ in the natural way. That is if $g \in G$ and $ x = {a,b} \in S$ then $x^g = {a^g,b^g} \in S$ Other software for permuation groups (magma, gap) allows to do this by specifing an additional option "on sets/on tuples" to compute the specifed orbits. I am wondering how could I do the same in sage, given a permuation group $G$ and an $S$ as described above. Thanks! |
Copyright Sage, 2010. Some rights reserved under creative commons license. Content on this site is licensed under a Creative Commons Attribution Share Alike 3.0 license.