Generators and Representations for G = A₂₀

Standard generators

• Standard generators of A₂₀ are a of order 3 (belonging to the smallest conjugacy class of elements of order 3), b of order 19 such that ab has order 18 and [a,b] has order 2. (Source: thesis)

BBOX programs

• Finder for A₂₀
• Checker for A₂₀

Representations

Representation genus			Representations available			Test results		Miscellaneous information
Group	Dim	Ind	File	Char	Ring	Checker	CCL	Sparsity	Max	Size (Kb)	Comments
A20	19	+	19	χ2	Z			92%	1	1.9	Young rep 19,1
A20	170	+	170	χ3	Z			98%	1	119.7	Young rep 18,2
A20	171	+	171	χ4	Z			98%	1	120.8	Young rep 18,1,1

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