Generators and Relations in Groups and Geometries

I Optimal factorization of matrices, length problems.- I.1 Classical group.- I.2 Generators of automorphism groups of module.- I.3 Generators of automorphism groups of Cayley algebra.- I.4 Products of matrice.- II Reflection geometry.- II.1 Reflection groups - On pre-Hjelmslev groups and related topic.- II.2 Unitary geometry.- II.3 Lie and algebraic Johnsen group.- III Nice generators and relations, applications.- III.1 2-Generation of finite simple groups and some related topic.- III.2 Coxeter groups and three related topic.- III.3 Geometric structure of conjugacy classes in algebraic group.- III.4 Groups with polynomial growth and differential geometry.- III.5 Analyticity and growth of pro p-group.- III.6 Intersections of local algebraic extensions of a Hilbertian fiel.- III.7 Generators and relations for discontinuous group.