Generators and Representations for G = A₁₅

Standard generators

• Standard generators of A₁₅ are a in class 3A, b of order 13 such that ab has order 15 and abb has order 15. (Source: thesis)

BBOX programs

• Finder for A₁₅
• Checker for A₁₅
• CCL rep tester for A₁₅

Representations

Representation genus			Representations available			Test results		Miscellaneous information
Group	Dim	Ind	File	Char	Ring	Checker	CCL	Sparsity	Max	Size (Kb)	Comments
A15	14	+	14	χ2	Z			89%	1	1.3	Young rep 14,1
A15	90	+	90	χ3	Z			97%	1	33.8	Young rep 13,2
A15	91	+	91	χ4	Z			97%	1	34.5	Young rep 13,1,1

Last generated on Sat Sep 24 18:52:50 2005