摘要

In this article we investigate that what actions of a subgroup G(1) of Picard group yield A(5) = PSL(2, 5). We draw coset diagrams (propounded by G. Higman) for the action of G(1) on finite fields PL(F-5n). The projective special linear groups PSL(2, p) when p = 5 can be seen as 5-multiples of tetrahedral rotation point group. It has applications in carbon chemistry and physics as PSL(2, 5) is the rotation group of the fullerene C-60.

  • 出版日期2010