I hope this is an easy question but no so easy to be wiped out. I have asked few physical people (Profs) here in our department, and nobody has a clue. I'm reading this paper:


[The locus of curves with prescribed automorphism group](http://arxiv.org/abs/math.AG/0205314)


and it uses following notation to represent a group:


G = (16, 13)


This is at the beginning of page 11. Shaska uses this notation in his other papers but I couldn't find an explanation for the kind of groups he's talking about. Could you please tell me exactly what's the meaning of this bracket notation? It could be a GAP thing but unfortunately I'm not a GAP person.


Thanks a lot.



G=(16, 13) notation
If Alex Bartel is correct that the notation $(16,13)$ refers to SmallGroup(16,13), then here are generators for your group:
$$
\left\{\left(
\begin{array}{cc}
 0 & 1 \\
 1 & 0
\end{array}
\right),\left(
\begin{array}{cc}
 -i & 0 \\
 0 & i
\end{array}
\right),\left(
\begin{array}{cc}
 1 & 0 \\
 0 & -1
\end{array}
\right)\right\}$$


It is extremely convenient to calculate such representations in GAP. Here is the code that generated this representation:


IrreducibleRepresentations(SmallGroup(16,13))[10];


