ATLAS: Unitary group U3(16)
Order = 4279234560 = 212.3.5.172.241.
Mult = 1.
Out = 8.
The following information is available for U3(16):
Standard generators of U3(16) are a and b where
a has order 2, b has order 3, ab has order 17
and ababb has order 5.
Standard generators of U3(13):2 are not defined.
Standard generators of U3(13):4 are not defined.
Standard generators of U3(13):8 are not defined.
To find standard generators of U3(13):
- Find an element of even order and power it up to give an
involution x
- Find an element of order divisible by 3 and power it up to give
an element t of order 3.
- Find a conjugate y of t such that xy has order 17
and xyxyy has order 5.
- The elements x and y are standard generators.
The representations of U3(16) available are:
-
Permutations on 4097 points:
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).
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Version 2.0 file created on 3rd August 2004.
Last updated 3.8.04 by SJN.