COMPUTATION OF WEDDERBURN DECOMPOSITION OF GROUPS ALGEBRAS FROM THEIR SUBALGEBRA

摘要

In this paper, we show that under certain conditions the Wedderburn decomposition of a finite semisimple group algebra F(q)G can be deduced from a subalgebra F-q(G/H) of factor group G/H of G, where H is a normal subgroup of G of prime order P. Here, we assume that q = p(tau) for some prime p and the center of each Wedderburn component of F(q)G is the coefficient field F-q.