We study, via character-theoretic methods, an `-analogue of the modular representation theory of the symmetric group, for an arbitrary integer ` ≥ 2. We find that many of the invariants of the usual… (More)

Introduction: When G is a finite group, we may endow G×G with the structure of a probability space by assigning the uniform distribution. As was pointed out by W.H. Gustafson [10], the probability… (More)

It is proved here that each finite completely reducible linear group of dimension d (over an arbitrary field) can be generated by L 3 d] elements. If a finite linear group G of dimension d is not… (More)

INTRODUCTION AND NOTATION: As usual, for G a finite group, we denote the set of non-identity elements of G by G, the number of conjugacy classes of G by k(G) and the set of complex irreducible… (More)

There may be under-recognition of acute liver injury following reported therapeutic use of paracetamol in alcoholics. We present the case of an alcoholic patient who developed acute liver injury… (More)

On the other hand, for control of fusion and other locally controlled phenomona, Alperin-Goldschmidt subpairs play a crucial role. We take this opportunity to remind the reader that when B is a… (More)

Let G be a finite group, p be a prime, k be an algebraically closed field of characteristic p. J. L. Alperin has conjectured that for any finite group G, # (isomorphism types of simple fcG-modules) =… (More)