Generators and Representations for G = J3
Standard generators
- Standard generators of the Janko group J3 are a and b where a has order 2, b is in class 3A, ab has order 19 and ababb has order 9. (Source: ATLAS)
- Standard generators of the triple cover 3.J3 are preimages A and B where A has order 2 and B is in class +3A. The condition that B is in class +3A is equivalent to the condition that ABABABB has order 17. (Source: ATLAS)
- Standard generators of the automorphism group J3:2 are c and d where c is in class 2B, d is in class 3A, cd has order 24 and cdcdd has order 9. (Source: ATLAS)
BBOX programs
Representations
Last generated on Sat Sep 24 18:52:40 2005