Given a finitely presented group $G = \langle S | R \rangle$, is there a command in MAGMA that computes the center of G ?
Finding the center of a group with MAGMA
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$\begingroup$
group-theory
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0If 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. – 2011-09-20
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0This 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. – 2011-09-21
1 Answers
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Yes.
Y:=permutationGroup(G):
Centre(Y);