Unitary group U3(5)
Order = 126 000 = 24.32.53.7.
Mult = 3.
Out = S3.
Robert Wilson's ATLAS page for U3(5) is available here.
U3(5): Length 50, 2-generator, 5-relator.
< x, y | x3 = y5 = (xy)7 = (xy-1)7 = xyx-1yxy2x-1yxyx-1y2 = 1 >
Remark: x and y are R.A.Wilson's standard generators for U3(5).
3.U3(5): Length 48, 2-generator, 5-relator.
< x, y | x3 = y5 = (xy)7 = [x, y]3 = xyx-1yxy2x-1yxyx-1y2 = 1 >
Remark: x and y are R.A.Wilson's standard generators for 3.U3(5). A central element of order 3 is (xy-1)7.
Last updated 15th September, 1997
John N. Bray