Generators and Representations for G = A₁₈

Standard generators

• Standard generators of A₁₈ are a of order 3 (belonging to the smallest conjugacy class of elements of order 3), b of order 17 such that ab has order 16 and [a,b] has order 2. (Source: thesis)

BBOX programs

• Finder for A₁₈
• Checker for A₁₈

Representations

Representation genus			Representations available			Test results		Miscellaneous information
Group	Dim	Ind	File	Char	Ring	Checker	CCL	Sparsity	Max	Size (Kb)	Comments
A18	17	+	17	χ2	Z			91%	1	1.7	Young rep 17,1
A18	135	+	135	χ3	Z			97%	1	75.9	Young rep 16,2
A18	136	+	136	χ4	Z			98%	1	76.8	Young rep 16,1,1

Last generated on Sat Sep 24 18:52:51 2005