ATLAS: Unitary group U3(9)
Order = 42573600 = 22.214.171.124.
Mult = 1.
Out = 4.
The following information is available for U3(9):
Standard generators of U3(9) are a and b where
a has order 2, b has order 6 and ab has order 15.
Standard generators of U3(9):2 are not defined.
Standard generators of U3(9):4 are not defined.
To find standard generators of U3(9):
- Find an element of even order and power it up to give an
- Find an element of order divisible by 6 and power it up to give
an element t of order 6.
- Find a conjugate y of t such that xy has order 15.
- The elements x and y are standard generators.
The representations of U3(9) available are:
Permutations on 730 points:
b (Meataxe binary),
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Version 2.0 file created on 3rd August 2004.
Last updated 3.8.04 by SJN.