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Given a finitely presented group $G = \langle S | R \rangle$, is there a command in MAGMA that computes the center of G ?

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If Center() won't work on G, you can use one of the functions available to covert G into a group of a type on which Center() will work. – m_t_ Sep 20 '11 at 21:52
    
This is unlikely to be possible unless $G$ is finite, in which case you should use a command like CosetImage to convert it to a group of permutations. – Derek Holt Sep 21 '11 at 8:50

Yes.

Y:=permutationGroup(G):

Centre(Y);

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