Talk:Janko group J1

I would like to see more somewhere about the G₂ groups. Leonard Dickson reported their discovery in 1905, but for some reason did not go on to get results on the other exceptional Lie algebras. That was done by Chevalley in 1955. Why 50 years?

I thought the best place to cite Dickson's paper was in the article on groups of Lie type.

These groups occur elsewhere. Conway 1 contains G₂(4), which in turn contains the Hall-Janko group. G₂(2) is not simple, but contains the simple group of order 6048, with index 2.

I wonder whether J₁ has been found in G₂(19). Scott Tillinghast, Houston TX 23:50, 30 April 2007 (UTC)