SIMPLE ROOT SYSTEMS AND PRESENTATIONS FOR CERTAIN COMPLEX REFLECTION GROUPS.

We find representatives of all the equivalence classes of simple root systems (or r.e.s. for brevity) for the complex reflection groups G₁₂, G₂₄, G₂₅ and G₂₆. Then we give representatives of ail the congruence classes of (essential) presentations (or r.c.p. (r.c.e.p.) for brevity) for these groups by generators and relations. The method used in the paper is applicable to any finite (complex) reflection groups. [ABSTRACT FROM AUTHOR]