My main research concerns representation
theory of finite groups, with particular emphasis on simple groups.
They include the so called classical groups (linear, orthogonal,
symplectic and unitary), groups of exceptional type, alternating groups
and sporadic groups. These have been thoroughly studied in
collaboration with Prof. Michler at IEM. According to a
Theorem announced in 1980 there are no other such groups apart the
trivial examples of cyclic groups of prime order. Unfortunately the
proof of this statement is spread among many articles and does not seem
to be complete as the recent 1300-page paper by Aschbacher and Smith
shows. My efforts try to grasp the structure of the 26 (or maybe
more) simple groups not belonging to an infinite series.