The concept of a reflection in Euclidean space was generalized by Shephard [16]. A
reflection in unitary space is a linear transformation of finite period with the property that all …

Using an original mode of presentation, and emphasizing the computational nature of the
subject, this book explores a number of the unsolved problems that still exist in coding …

Let χ be an irreducible character of a finite group G. Let p=∞ or a prime. Let mp (χ) denote
the Schur index of χ over Q p, the completion of Q at p. It is shown that if x is ap′-element of …

The aim of the present paper is a complete classification of the finite groups G which can be
embedded in M,(D) x for some division algebra D. We will make the assumption that G is …

The representation theory of groups of Lie type has been investigated in several research
papers recently, with much attention being directed towards the computation of constituents …

Let f (x) be a polynomial of degree at least 5 with complex coefficients and without repeated
roots. Let p be an odd prime. Suppose that all the coefficients of f (x) lie in a subfield K such …

The Schur Indices of the Irreducible Characters of the Special Linear Groups Page 1 Ž .
Journal of Algebra 235, 275314 2001 doi:10.1006rjabr.2000.8485, available online at http:rrwww.idealibrary.com …

Let G denote the projective special linear group PSL (2, q), for a prime power q. It is shown
that a finite 2-subgroup of the group V (ℤ G) of augmentation 1 units in the integral group …

In 1968 B. Srinivasan (8) gave an explicit construction of the complex characters of the
symplectic groups Sp (4, q) of dimension 4 over finite fields of odd order q. The Schur …

We construct a geometric realization of representations for $\text {PSL}(2,\mathbb {F} _p) $
by the defining ideals of rational models $\mathcal {L}(X (p)) $ of modular curves $ X (p) …