### Effective algorithms for matrix groups,

#### Eamonn O'Brien,

Professor of Mathematics,

Auckland, New Zealand

This course will focus on theoretical and practical
algorithms for the study of groups generated by matrices. We will
consider how to compute information about the group, for examples its
order and composition factors. During practical classes, we will
demonstrate how to use implementations of some of these algorithms in
the computer algebra systems GAP and MAGMA to explore the structure of
various groups.

This course will consist of six lectures and two
practical traninigs. The participans should know basic intro to
classical groups andbasic facts about perm groups. It suffices to know

1. Chapters 1-3 from J.D.Dixon, B.Mortimer "Permutation Groups", New York, Springer, 1996.

2. Chapters 1-2 from P.B.Kleidman, M.Liebeck "The Subgroups Structure of Finite Classical Groups", Cambridge Univ. Press, 1990.

3. L.C.Grove "Classical Groups and geometric algebra", AMS Graduate Studies in Mathematics, vol. 39, 2002.

The print form of the lectures