In this paper we define a two-variable, generic Hecke algebra, H, for each complex reflection group G(b, 1, n). The algebra H specializes to the group algebra of G(b, 1, n) and also to an endomorphism algebra of a representation of GLn(Fq) induced from a solvable subgroup. We construct Kazhdan-Lusztig “R-polynomials” for H and show that they may be used to define a partial order on G(b, 1, n). ...

In an earlier paper the authors have classified the nonsolvable primitive linear groups of prime degree over C. The present paper deals with the classification of the nonsolvable imprimitive linear groups of prime degree (equivalently, the irreducible monomial groups of prime degree). If G is a monomial group of prime degree r, then there is a projection π of G onto a transitive group H of perm...

In this paper, it is proved that the group generated by Bass units contains a subgroup of finite index in central <mml:mi class="M...