Conjugacy class sums for induced modules: construction and applications

AbstractWe show how to construct conjugacy class sums for an arbitrary induced representation by using just one representative for each conjugacy class. Some ideas which speed up the calculation in special cases are presented together with examples. In the second part we give two applications of such class sums to monomial representations

A New Existence Proof for Ly, the Sporadic Simple Group of R. Lyons

AbstractThis paper reports on a new and independent existence proof for the sporadic simple group Ly of Lyons, using only two permutations of degree 9 606 125, computed by Cooperman, Finkelstein, Tselman, and York. We will show that these two permutations generate a group G≃Ly, by first computing a base and strong generating set for G, and then checking the two hypotheses for Ly from Lyons’ original paper. Moreover, this produces a new presentation for Ly