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I have a group described by group relations. For simplicity group has a presentation $<a | a^n = e>$. How can I create this group in Mathematica?

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    $\begingroup$ Would CyclicGroup[n] do? $\endgroup$
    – Andrew
    Commented Dec 21, 2018 at 19:52
  • $\begingroup$ @Andrew no, I am looking for general solution for arbitrary group $\endgroup$
    – Sergey Kopylov
    Commented Dec 21, 2018 at 20:48
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    $\begingroup$ You can't. Use GAP instead. $\endgroup$
    – Somos
    Commented Dec 22, 2018 at 5:16
  • $\begingroup$ Is the group finite or not? How would you represent an infinite group in Mathematica? $\endgroup$
    – Somos
    Commented Dec 22, 2018 at 22:40
  • $\begingroup$ @Somos yes, I suppose that group is finite $\endgroup$
    – Sergey Kopylov
    Commented Dec 23, 2018 at 16:30

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Would something like 

G := FormGroupoid[Range[0, 7], Mod[#1 + #2, 8] &]

work?

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  • $\begingroup$ Thanks, but l'm looking for solution that uses group relations $\endgroup$
    – Sergey Kopylov
    Commented Dec 21, 2018 at 21:09
  • $\begingroup$ FormGroupoid is not a builtin. If you are using a package, please mention it. $\endgroup$
    – Szabolcs
    Commented Dec 22, 2018 at 13:38

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