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This volume contains contributions by the participants of the
conference "Groups and Computation," which took place at The Ohio
State University in Columbus, Ohio, in June 1999. This conference
was the successor of two workshops on "Groups and Computation" held
at DIMACS in 1991 and 1995. There are papers on permutation group
algorithms, finitely presented groups, polycyclic groups, and
parallel computation, providing a representative sample of the
breadth of Computational Group Theory. On the other hand, more than
one third of the papers deal with computations in matrix groups,
giving an in-depth treatment of the currently most active area of
the field. The points of view of the papers range from explicit
computations to group-theoretic algorithms to group-theoretic
theorems needed for algorithm development.
Presented here are papers from the 1993 Como meeting on groups of
Lie type and their geometries. The meeting was attended by many
leading figures, as well as younger researchers in this area, and
this book brings together many of their excellent contributions.
Themes represented here include: subgroups of finite and algebraic
groups; buildings and other geometries associated to groups of Lie
type or Coxeter groups; generation and applications. This book will
be a necessary addition to the library of all researchers in group
theory and related areas.
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