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New Groups From Others

BravaisGroup(G) : GrpMat[RngInt] -> GrpMat
For a finite integral matrix group G, compute its Bravais group which is the integral group fixing all symmetric bilinear forms fixed by G.
IntegralGroup(G) : GrpMat -> GrpMat, AlgMatElt
IntegralGroup(G) : [Mtrx] -> [Mtrx], AlgMatElt
Return the action of the finite rational matrix group G on an invariant lattice as an integral matrix group, thus giving an equivalent integral group H, together with the transformation matrix T from the standard lattice to the invariant lattice. Thus H = T.G.T - 1.
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Version: V2.19 of Wed Apr 24 15:09:57 EST 2013