If there is a least positive integer m such that A(m) = I for an element A
of GL(n)(F), then we call A a fixed point free element of order m. In the p
resent paper, we determine the formula of the conjugacy classes of fixed po
int free elements in GL(n)(F) and SLn(F) completely. (C) 2000 Elsevier Scie
nce Inc. All rights reserved.