Generators and Representations for G = A₂₃

Standard generators

• Standard generators of A₂₃ are a of order 3 (in the smallest conjugacy class of elements of elements of order 3), b of order 21 such that ab has order 23. This forces b to be in the conjugacy class of 21-cycles. (Source: thesis)

BBOX programs

• Finder for A₂₃
• Checker for A₂₃

Representations

Representation genus			Representations available			Test results		Miscellaneous information
Group	Dim	Ind	File	Char	Ring	Checker	CCL	Sparsity	Max	Size (Kb)	Comments
A23	22	+	22	χ2	Z			93%	1	2.4	Young rep 22,1
A23	230	+	230	χ3	Z			98%	1	218.3	Young rep 21,2
A23	231	+	231	χ4	Z			99%	1	219.9	Young rep 21,1,1

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