Generators and Representations for G = A₂₁

Standard generators

• Standard generators of A₂₁ are a of order 3 (in the smallest conjugacy class of elements of elements of order 3), b of order 19 such that ab has order 21. (Source: thesis)

BBOX programs

• Finder for A₂₁
• Checker for A₂₁

Representations

Representation genus			Representations available			Test results		Miscellaneous information
Group	Dim	Ind	File	Char	Ring	Checker	CCL	Sparsity	Max	Size (Kb)	Comments
A21	20	+	20	χ2	Z			92%	1	2.1	Young rep 20,1
A21	189	+	189	χ3	Z			98%	1	147.0	Young rep 19,2
A21	190	+	190	χ4	Z			99%	1	148.3	Young rep 19,1,1

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