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2016-07-20 03:45:46 +0100 | asked a question | Semimonomial transformation group I have a subgroup of the semimonomial transformation group which is implemented in Sage and would like to be able to use for example the Orbit-functions in GAP, any ideas of how to do this? Below I compute the full automorphism group of a linear [8,5] code over GF(4), with its generators stored in the variable "Gautgens". What I would like to do is to use the Orbits-function in GAP to find the orbits of some vectors in GF(4)^8 (v1,v2,v3,...) under the action of the automorphism group above. That is, something like: But I don't know how to make the automorphism group a group in GAP. An alternative solution for me would be to map the automorphism group to an isomorphic permutation group acting on points. That is I would number all the vectors in GF(4)^8 and the automorphism group would then act as a permutation group on this indexing. |