[GAP Forum] Galios Ring

[Alexander Hulpke]

Dear Forum,

Aasma Shaheen asked:
> In GAp how can we  generate a galios ring over a finite local ring ,for
> example Z4[x]/<x^2 +x+1>.
> If anybody can help ,i will be greatfull.

There currently is no dedicated functionality for extensions of local rings, but since the structure is finite dimensional, you could build an isomorphic object using AlgebraByStructureConstants.

Best,

   Alexander Hulpke

-- Colorado State University, Department of Mathematics,
Weber Building, 1874 Campus Delivery, Fort Collins, CO 80523-1874, USA
email: hulpke at math.colostate.edu, Phone: ++1-970-4914288
http://www.math.colostate.edu/~hulpke