Linear group L₅(2)

Order = 9 999 360 = 2¹⁰.3².5.7.31.
Mult = 1.
Out = 2.

Robert Wilson's ATLAS page for L₅(2) is available here.

L₅(2): Length 105, 2-generator, 6-relator.

< x, y | x² = y⁵ = (xy)²¹ = [x, y]⁴ = [x, y²]² = (xyxyxy^-2)⁴ = 1 >

Remark: x and y are R.A.Wilson's standard generators for L₅(2).
Reciprocity: (x, y) and (x, y^-1) are conjugate in Aut(G) = G:2, but they are not conjugate (in Aut(G)) to (x, y²) and (x, y^-2).

Last updated 16^st July, 1997

John N. Bray

Linear group L5(2)

L5(2): Length 105, 2-generator, 6-relator.

Linear group L₅(2)

L₅(2): Length 105, 2-generator, 6-relator.