Generators and Representations for G = A₂₂

Standard generators

• Standard generators of A₂₂ are a of order 3 (belonging to the smallest conjugacy class of elements of order 3), b of order 21 such that ab has order 20 and [a,b] has order 2. This forces b to be in the conjugacy class of 21-cycles. (Source: thesis)

BBOX programs

• Finder for A₂₂
• Checker for A₂₂

Representations

Representation genus			Representations available			Test results		Miscellaneous information
Group	Dim	Ind	File	Char	Ring	Checker	CCL	Sparsity	Max	Size (Kb)	Comments
A22	21	+	21	χ2	Z			92%	1	2.3	Young rep 21,1
A22	209	+	209	χ3	Z			98%	1	180.2	Young rep 20,2
A22	210	+	210	χ4	Z			99%	1	181.5	Young rep 20,1,1

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