Research Article
Involutions in the Automorphism Groups of Small Sporadic Simple Groups
F<a,b>:=FreeGroup(2); | phi:=hom< F->G ∣ <a,G.1>,<b,G.2> >; | r,h:=IsConjugate(G,t,x); | sh:=h@@phi; | lengthmin:=#sh; | hmin:=h; | Ct:=Centralizer(G,t); | for c in Ct do | sch:=(c*h)@@phi; | if #sch lt lengthmin then | lengthmin:=#(sch); | hmin:=c*h; shmin:=sch; | end if; | end for; |
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