Generators and Representations for G = A₁₉

Standard generators

• Standard generators of A₁₉ are a of order 3 (in the smallest conjugacy class of elements of elements of order 3), b of order 17 such that ab has order 19. (Source: thesis)

BBOX programs

• Finder for A₁₉
• Checker for A₁₉

Representations

Representation genus			Representations available			Test results		Miscellaneous information
Group	Dim	Ind	File	Char	Ring	Checker	CCL	Sparsity	Max	Size (Kb)	Comments
A19	18	+	18	χ2	Z			91%	1	1.8	Young rep 18,1
A19	152	+	152	χ3	Z			98%	1	95.4	Young rep 17,2
A19	153	+	153	χ4	Z			98%	1	96.5	Young rep 17,1,1

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