A note about labelling: a reference such as 2.9.3 is to Theorem 2.9.3 (or Def-
inition 2.9.3, etc., as the case may be). The numbers for displayed equations and
statements, however, are put in parentheses, so that (4.2.12) refers to Equation
(4.2.12), for example.
Our thanks go to Ellen Scott, who prepared substantial chunks of this manu-
script. In addition, we thank Jonathan Alperin, Paul Flavell, Chao Ku and John
Thompson, who have pointed out errors in the first two volumes of this series; we
are taking the opportunity here to include a page of errata for those volumes. We
are indebted to John Thompson, Peter Sin and Gary Seitz for their numerous use-
ful comments on large portions of this manuscript. Their vigilance has prevented
a number of errors from appearing in print. It is a pleasure to acknowledge our
debt to some of those from and with whom we learned much of what is contained
herein: J. Alperin, M. Aschbacher, N. Burgoyne, R. W. Carter, B. Cooperstein, R.
Gilman, G. Glauberman, R. L. Griess, Jr., P. Hewitt, G. Mason, L. Scott, Jr., G.
M. Seitz, T. A. Springer, J. G. Thompson, and most importantly, M. E. O'Nan and
And as ever, a toast to Danny.
Richard Lyons and Ronald Solomon
DEPARTMENT OF MATHEMATICS, RUTGERS UNIVERSITY, NE W BRUNSWICK,
NE W JERSEY
E-mail address: email@example.com. edu
DEPARTMENT OF MATHEMATICS, THE OHIO STATE UNIVERSITY, COLUM-
BUS, OHIO 43210
E-mail address: firstname.lastname@example.org